Solar air heaters (SAHs) are widely used for drying vegetables and fruits or for domestic heating. Certain sizing parameters are necessary to obtain the right dimensions for the required air temperature, flow rate, and thus useful thermal energy. The well-known Hottel–Whillier–Bliss equation was used and made dimensionless by applying the collector longitudinal and transversal aspect ratios (rl and rt) of a double-glazed flat plate solar air heater (DG-FPSAH). The steady-state equations are solved to determine the average temperatures. Thereafter, one could calculate the overall loss heat coefficient and efficiency factor, obtained analytically. A Matlab code was developed to estimate primarily unknown temperatures, useful energy, and the Nusselt number. An iterative numerical method is used until convergence occurs. The inlet cross-sectional area and air flow velocity are defined as input data. The proposed sizing method depends on the output temperature required by the customer. This temperature can be determined from the plotted curves of the dimensionless ratios. Hence, the SAH-needed dimensions are determined graphically depending on the functional requirements for construction planning, such as technology choice, work breakdown, and budgeting. In the present case study, based on the input parameters, an airflow rate of 1.2 kg/s entering a DG-FPSAH with an output temperature of 41.5°C yields the dimensions of Lin = 3.824 m, Win = 2.735 m, and Hin = 0.1825, specifying the collector length, width, and air duct height. The gathered energy and thermohydraulic efficiency are: Qu = 7.91 kW, ηcol = 0.752, respectively.
{"title":"A simple graphical method for sizing flat-plate solar air heaters based on transversal and longitudinal aspect ratios","authors":"Hocine Mzad, Fethi Bennour","doi":"10.1002/htj.23153","DOIUrl":"https://doi.org/10.1002/htj.23153","url":null,"abstract":"<p>Solar air heaters (SAHs) are widely used for drying vegetables and fruits or for domestic heating. Certain sizing parameters are necessary to obtain the right dimensions for the required air temperature, flow rate, and thus useful thermal energy. The well-known Hottel–Whillier–Bliss equation was used and made dimensionless by applying the collector longitudinal and transversal aspect ratios (<i>r</i><sub><i>l</i></sub> and <i>r</i><sub><i>t</i></sub>) of a double-glazed flat plate solar air heater (DG-FPSAH). The steady-state equations are solved to determine the average temperatures. Thereafter, one could calculate the overall loss heat coefficient and efficiency factor, obtained analytically. A Matlab code was developed to estimate primarily unknown temperatures, useful energy, and the Nusselt number. An iterative numerical method is used until convergence occurs. The inlet cross-sectional area and air flow velocity are defined as input data. The proposed sizing method depends on the output temperature required by the customer. This temperature can be determined from the plotted curves of the dimensionless ratios. Hence, the SAH-needed dimensions are determined graphically depending on the functional requirements for construction planning, such as technology choice, work breakdown, and budgeting. In the present case study, based on the input parameters, an airflow rate of 1.2 kg/s entering a DG-FPSAH with an output temperature of 41.5°C yields the dimensions of <i>L</i><sub><i>in</i></sub> = 3.824 m, <i>W</i><sub><i>in</i></sub> = 2.735 m, and <i>H</i><sub><i>in</i></sub> = 0.1825, specifying the collector length, width, and air duct height. The gathered energy and thermohydraulic efficiency are: <i>Q</i><sub><i>u</i></sub> = 7.91 kW, <i>η</i><sub><i>col</i></sub> = 0.752, respectively.</p>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"53 8","pages":"4668-4694"},"PeriodicalIF":2.8,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588040","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This article explores the utilization of a synthetic jet as an approach to cool microelectronic devices, addressing their thermal management needs. The study includes both experimental measurements and numerical simulations to gain a comprehensive understanding of the heat transfer characteristics and fluid flow patterns generated by the synthetic jet actuator. The average Nusselt number (Nu) of the synthetic jet impinging flow with the dimensionless separation distances of the orifice to the heated surface (H/D) is investigated at different Reynolds numbers. A dynamic mesh scheme is employed in performing the simulations of the fluid domain to showcase the diaphragm's vibration and its deformation over time. The velocity profiles exhibit that the synthetic jet flow prompts the formation of two countervortices during every vibrating cycle of the diaphragm. The experimental results align closely with the predicted outcomes, indicating that the synthetic jet significantly enhances heat transfer by 3.1 times relative to the natural convection in the case of (H/D = 8.4) across different Reynolds numbers while maintaining low power consumption, a compact size, and a noise-free operation.
{"title":"Enhancing heat transfer with a synthetic jet for thermal management applications","authors":"Sufian F. Shaker","doi":"10.1002/htj.23154","DOIUrl":"https://doi.org/10.1002/htj.23154","url":null,"abstract":"<p>This article explores the utilization of a synthetic jet as an approach to cool microelectronic devices, addressing their thermal management needs. The study includes both experimental measurements and numerical simulations to gain a comprehensive understanding of the heat transfer characteristics and fluid flow patterns generated by the synthetic jet actuator. The average Nusselt number (<i>Nu</i>) of the synthetic jet impinging flow with the dimensionless separation distances of the orifice to the heated surface (<i>H</i>/<i>D</i>) is investigated at different Reynolds numbers. A dynamic mesh scheme is employed in performing the simulations of the fluid domain to showcase the diaphragm's vibration and its deformation over time. The velocity profiles exhibit that the synthetic jet flow prompts the formation of two countervortices during every vibrating cycle of the diaphragm. The experimental results align closely with the predicted outcomes, indicating that the synthetic jet significantly enhances heat transfer by 3.1 times relative to the natural convection in the case of (<i>H</i>/<i>D</i> = 8.4) across different Reynolds numbers while maintaining low power consumption, a compact size, and a noise-free operation.</p>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"53 8","pages":"4695-4708"},"PeriodicalIF":2.8,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588041","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
A. Mezaache, F. Mebarek-Oudina, H. Vaidya, Y. Fouad
Heat exchanger research is mainly exploited to develop and optimize new engineering systems with high thermal efficiency. Passive methods based on nanofluids, fins, wavy walls, and the porous medium are the most attractive ways to achieve this goal. This investigation focuses on heat transfer and entropy production in a nanofluid laminar flow inside a plate corrugated channel (PCC). The channel geometry comprises three sections, partially filled with a porous layer located at the intermediate corrugate channel section. The physical modeling is based on the laminar, two-dimensional Darcy–Brinkman–Forchheimer formulation for nanofluid flow and the local thermal equilibrium model for the heat equation, including the viscous dissipation term. Numerical solutions were obtained using ANSYS Fluent software based on the finite volume technique and the appropriate meshed geometries. The numerical results are validated with theoretical, numerical, and experimental studies. The simulations are performed for CuO–water nanofluid and AISI 304 porous medium. The coupled effects of porous layer thickness (δ), Reynolds number (Re), and nanoparticle fraction (φ) on velocity, streamlines, isotherm contours, Nusselt number (Nu), and entropy generation (S) are analyzed and illustrated. The simulation results demonstrate that heat transfer enhancement in clear PCC can be achieved using a porous layer insert. For the porous thickness range of [0.1–0.6], the corresponding range of average Nusselt number increase is [35.7%–176.9%], and the average entropy generation is [105.4%–771.9%]. The effect of the Reynolds number is more important in a porous duct than in a clear one. For δ = 0.4 and φ = 5%, the increase of Re in the range of [200–500] induces an increase in average Nusselt number in the range of [80.9%–108.4%] and average entropy in [222.9%–309.1%] comparatively to clear PCC. The effect of φ is practically the same for porous and clear channels. For φ = 5%, the increase on average Nu is about 9%, and entropy generation is 5%. Accordingly, important improvements in heat transfer in PCC can be achieved through the combined effect of flow Reynolds number and porous layer thickness.
{"title":"Heat transfer analysis of nanofluid flow with entropy generation in a corrugated heat exchanger channel partially filled with porous medium","authors":"A. Mezaache, F. Mebarek-Oudina, H. Vaidya, Y. Fouad","doi":"10.1002/htj.23149","DOIUrl":"https://doi.org/10.1002/htj.23149","url":null,"abstract":"<p>Heat exchanger research is mainly exploited to develop and optimize new engineering systems with high thermal efficiency. Passive methods based on nanofluids, fins, wavy walls, and the porous medium are the most attractive ways to achieve this goal. This investigation focuses on heat transfer and entropy production in a nanofluid laminar flow inside a plate corrugated channel (PCC). The channel geometry comprises three sections, partially filled with a porous layer located at the intermediate corrugate channel section. The physical modeling is based on the laminar, two-dimensional Darcy–Brinkman–Forchheimer formulation for nanofluid flow and the local thermal equilibrium model for the heat equation, including the viscous dissipation term. Numerical solutions were obtained using ANSYS Fluent software based on the finite volume technique and the appropriate meshed geometries. The numerical results are validated with theoretical, numerical, and experimental studies. The simulations are performed for CuO–water nanofluid and AISI 304 porous medium. The coupled effects of porous layer thickness (<i>δ</i>), Reynolds number (<i>Re</i>), and nanoparticle fraction (<i>φ</i>) on velocity, streamlines, isotherm contours, Nusselt number (<i>Nu</i>), and entropy generation (<i>S</i>) are analyzed and illustrated. The simulation results demonstrate that heat transfer enhancement in clear PCC can be achieved using a porous layer insert. For the porous thickness range of [0.1–0.6], the corresponding range of average Nusselt number increase is [35.7%–176.9%], and the average entropy generation is [105.4%–771.9%]. The effect of the Reynolds number is more important in a porous duct than in a clear one. For <i>δ</i> = 0.4 and <i>φ</i> = 5%, the increase of <i>Re</i> in the range of [200–500] induces an increase in average Nusselt number in the range of [80.9%–108.4%] and average entropy in [222.9%–309.1%] comparatively to clear PCC. The effect of <i>φ</i> is practically the same for porous and clear channels. For <i>φ</i> = 5%, the increase on average <i>Nu</i> is about 9%, and entropy generation is 5%. Accordingly, important improvements in heat transfer in PCC can be achieved through the combined effect of flow Reynolds number and porous layer thickness.</p>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"53 8","pages":"4625-4647"},"PeriodicalIF":2.8,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This study analyzes the heat and mass transfer of magnetohydrodynamic flow past an accelerated vertical plate along with exponentially decaying wall temperature and exponential mass diffusion, in which thermal and mass stratification was considered. The governing equations are solved by employing the Laplace transform method, and graphs are produced by implementing MATLAB software. The impacts of both stratifications on various parameters involved in our studies were investigated with the help of graphs. Graphs were used to display the effects of various parameters on velocity, temperature, concentration, skin friction, Nusselt number, and Sherwood number. We consider both the cases, that is, with and without stratification to study the effects of thermal and mass stratification. By evaluating the results of thermal stratification with an unstratified environment, the study comes to an important conclusion. It is seen that the Steady state is reached quickly with the combined effect of both stratifications. It is also discovered that the velocity steadily reduced as the magnetic field parameter increased. This research has many applications in understanding the fluid flow in engineering and technology fields, such as geophysics, astrophysics, and fluid engineering difficulties.
{"title":"Thermal and mass stratification effects on MHD flow past an accelerated vertical plate with exponentially decaying wall temperature and exponential mass diffusion in porous medium","authors":"Rakesh Rabha, Rudra Kanta Deka","doi":"10.1002/htj.23152","DOIUrl":"https://doi.org/10.1002/htj.23152","url":null,"abstract":"<p>This study analyzes the heat and mass transfer of magnetohydrodynamic flow past an accelerated vertical plate along with exponentially decaying wall temperature and exponential mass diffusion, in which thermal and mass stratification was considered. The governing equations are solved by employing the Laplace transform method, and graphs are produced by implementing MATLAB software. The impacts of both stratifications on various parameters involved in our studies were investigated with the help of graphs. Graphs were used to display the effects of various parameters on velocity, temperature, concentration, skin friction, Nusselt number, and Sherwood number. We consider both the cases, that is, with and without stratification to study the effects of thermal and mass stratification. By evaluating the results of thermal stratification with an unstratified environment, the study comes to an important conclusion. It is seen that the Steady state is reached quickly with the combined effect of both stratifications. It is also discovered that the velocity steadily reduced as the magnetic field parameter increased. This research has many applications in understanding the fluid flow in engineering and technology fields, such as geophysics, astrophysics, and fluid engineering difficulties.</p>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"53 8","pages":"4648-4667"},"PeriodicalIF":2.8,"publicationDate":"2024-08-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588035","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Gohar Ali, Matin Ahmad, Farhad Ali, Arshad Khan, Ilyas Khan
Usually, suction/blowing is used to control the channel's fluid flow, which is why this worth-noting effect is considered. The fluid velocity is considered along the x-axis due to the oscillations of the right plate. The thermal effect on the flow due to the heated right plate is also considered. The fluid and dust particles have complex velocities due to the rotation, which are the sum of primary and secondary velocities. To convert the aforementioned physical phenomenon into mathematical form, partial differential equations are used for modeling the subject flow regime. Appropriate nondimensional variables are employed to nondimensionalize the system of governing equations. With the assistance of assumed periodic solutions, the system of partial differential equations is reduced to a system of ordinary differential equations which is then solved by the perturb solution utilizing Poincare–Lighthill perturbation techniques. The engineering interest quantities, the Nusselt number, and skin friction are also determined. The impact of various parameters on skin friction, viscoelastic fluid, and dust particle velocity profiles is also investigated. It is worth mentioning that suction controls the boundary layer to grow unexpectedly, even in the resonance case. The obtained solution is also valid in the case of injection. The radiation parameter, Grashof number, and second-grade parameter cause a decrease in skin friction as their values increase. On the other hand, the suction, rotation, magnetic, dusty fluid, and Reynolds numbers cause a rise in skin friction.
通常情况下,抽吸/吹气用于控制通道的流体流动,这也是考虑这种值得注意的效应的原因。由于右侧板的摆动,考虑了沿 x 轴的流体速度。同时还考虑了加热右板对流动的热效应。由于旋转,流体和尘埃粒子具有复杂的速度,即一次速度和二次速度之和。为了将上述物理现象转换为数学形式,我们使用偏微分方程来模拟主题流态。采用了适当的非一维变量来对控制方程系统进行非一维化。在假定周期解的帮助下,偏微分方程系被简化为常微分方程系,然后利用 Poincare-Lighthill 扰动技术通过扰动解来求解。此外,还确定了工程利益量、努塞尔特数和皮肤摩擦。此外,还研究了各种参数对表皮摩擦、粘弹性流体和尘粒速度曲线的影响。值得一提的是,即使在共振情况下,吸力也会控制边界层意外增长。所获得的解决方案在注入情况下也是有效的。辐射参数、格拉肖夫数和二级参数的值增大时,会导致表皮摩擦力减小。另一方面,吸力、旋转、磁力、含尘流体和雷诺数会导致表皮摩擦力上升。
{"title":"Couette flow of viscoelastic dusty fluid through a porous oscillating plate in a rotating frame along with heat transfer","authors":"Gohar Ali, Matin Ahmad, Farhad Ali, Arshad Khan, Ilyas Khan","doi":"10.1002/htj.23127","DOIUrl":"https://doi.org/10.1002/htj.23127","url":null,"abstract":"<p>Usually, suction/blowing is used to control the channel's fluid flow, which is why this worth-noting effect is considered. The fluid velocity is considered along the <i>x</i>-axis due to the oscillations of the right plate. The thermal effect on the flow due to the heated right plate is also considered. The fluid and dust particles have complex velocities due to the rotation, which are the sum of primary and secondary velocities. To convert the aforementioned physical phenomenon into mathematical form, partial differential equations are used for modeling the subject flow regime. Appropriate nondimensional variables are employed to nondimensionalize the system of governing equations. With the assistance of assumed periodic solutions, the system of partial differential equations is reduced to a system of ordinary differential equations which is then solved by the perturb solution utilizing Poincare–Lighthill perturbation techniques. The engineering interest quantities, the Nusselt number, and skin friction are also determined. The impact of various parameters on skin friction, viscoelastic fluid, and dust particle velocity profiles is also investigated. It is worth mentioning that suction controls the boundary layer to grow unexpectedly, even in the resonance case. The obtained solution is also valid in the case of injection. The radiation parameter, Grashof number, and second-grade parameter cause a decrease in skin friction as their values increase. On the other hand, the suction, rotation, magnetic, dusty fluid, and Reynolds numbers cause a rise in skin friction.</p>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"53 8","pages":"4588-4607"},"PeriodicalIF":2.8,"publicationDate":"2024-08-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588063","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Solving the inverse problems of heat conduction often requires performing a very large number of Green's function evaluations. This paper addresses the calculation of Green's functions in anisotropic curved media, such as composite lamina, where the principal axes of thermal conductivity follow the curved surface. We start with established exact series solutions for cylindrical convex and concave shapes. These solutions are extended to accommodate geometries of real-world composite materials that do not form a closed surface like a cylinder. Unfortunately, the exact solutions have the form of an infinite series of sums or integrals and are computationally infeasible for the inverse problems of interest, especially for large radii of curvature. This motivates a perturbation solution that is accurate and computationally efficient at large radii of curvature. In addition, it motivates a phenomenological approximation that is extremely computationally efficient over a broad range of curvatures, but with some sacrifice in accuracy. These solutions are compared with exact solutions, with each other, and with numerical finite difference calculation. We identify regions in parameter space where the different approaches are preferable and where they lead to the same numerical result.
{"title":"Calculation of Green's functions for heat conduction in curved anisotropic media","authors":"Anatoli M. Frishman, Stephen D. Holland","doi":"10.1002/htj.23141","DOIUrl":"https://doi.org/10.1002/htj.23141","url":null,"abstract":"<p>Solving the inverse problems of heat conduction often requires performing a very large number of Green's function evaluations. This paper addresses the calculation of Green's functions in anisotropic curved media, such as composite lamina, where the principal axes of thermal conductivity follow the curved surface. We start with established exact series solutions for cylindrical convex and concave shapes. These solutions are extended to accommodate geometries of real-world composite materials that do not form a closed surface like a cylinder. Unfortunately, the exact solutions have the form of an infinite series of sums or integrals and are computationally infeasible for the inverse problems of interest, especially for large radii of curvature. This motivates a perturbation solution that is accurate and computationally efficient at large radii of curvature. In addition, it motivates a phenomenological approximation that is extremely computationally efficient over a broad range of curvatures, but with some sacrifice in accuracy. These solutions are compared with exact solutions, with each other, and with numerical finite difference calculation. We identify regions in parameter space where the different approaches are preferable and where they lead to the same numerical result.</p>","PeriodicalId":44939,"journal":{"name":"Heat Transfer","volume":"53 8","pages":"4528-4550"},"PeriodicalIF":2.8,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://onlinelibrary.wiley.com/doi/epdf/10.1002/htj.23141","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142588108","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This study investigates the heat and mass transfer dynamics in exothermic, chemically reactive fluids over variable-thickness surfaces using advanced numerical methods and artificial neural networks (ANN). The importance of understanding these processes lies in their significant industrial applications, such as in chemical reactors and heat exchangers. We transformed nonlinear partial differential equations into ordinary differential equations and used the bvp4c numerical method to generate a comprehensive data set. The ANN model, trained with the Levenberg–Marquardt algorithm, was evaluated for its accuracy in simulating complex fluid dynamics and thermosolutal transport phenomena. Our results revealed that increasing the second-grade fluid parameter