Pub Date : 2025-10-16DOI: 10.1134/S1810232825020067
O. Yu. Tsvelodub
The flow of a viscous fluid film along the outer surface of a vertical cylinder is considered. For this purpose, a model nonlinear evolution equation for the deviation of the film thickness from the unperturbed level is used. When the region of instability corresponding to a certain azimuthal wave number is narrow enough, a simplified system of equations is obtained from the original equation. It is valid for describing spatially periodic solutions at all wave numbers from the neighborhood of this region. The solutions of this system are presented for several values of the azimuthal wave number.
{"title":"Nucleation of Spatial Wave Modes on the Surface of a Viscous Fluid Film Flowing down a Vertical Cylinder at the Appearance of New Instability Regions","authors":"O. Yu. Tsvelodub","doi":"10.1134/S1810232825020067","DOIUrl":"10.1134/S1810232825020067","url":null,"abstract":"<p>The flow of a viscous fluid film along the outer surface of a vertical cylinder is considered. For this purpose, a model nonlinear evolution equation for the deviation of the film thickness from the unperturbed level is used. When the region of instability corresponding to a certain azimuthal wave number is narrow enough, a simplified system of equations is obtained from the original equation. It is valid for describing spatially periodic solutions at all wave numbers from the neighborhood of this region. The solutions of this system are presented for several values of the azimuthal wave number.</p>","PeriodicalId":627,"journal":{"name":"Journal of Engineering Thermophysics","volume":"34 2","pages":"292 - 304"},"PeriodicalIF":1.4,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145296424","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-10-16DOI: 10.1134/S1810232825020171
H. K. Mandal, D. K. Maiti, R. N. Jana
This study explores the flow of a viscous, incompressible, and electrically conducting fluid between plates, where one is perfectly conducting and the other is non-conducting. It focuses on the influence of thermal and solutal buoyancy forces on heat and mass transfer driven by free convection. Both plates are of infinite length, and a uniform transverse magnetic field is imposed to the flow. The analysis also incorporates the effect of chemical reactions within the fluid. The governing equations for momentum, thermal energy, mass concentration, and generalized Ohm’s law are solved with the Laplace transform method. The study examines the influence of various key parameters, including the Hartmann number, Hall current, Soret number, thermal and solutal Grashof numbers, radiation parameter, Schmidt number, and chemical reaction parameter, on flow characteristics (such as velocity profiles and shear stress), heat transfer (temperature profiles and Nusselt number), mass transfer (concentration profiles and Sherwood number), along with the induced magnetic field and current density. The Lorentz force within the flow suppresses convective activities in the flow domain, leading to a reduction in the viscous drag forces exerted on the plates. Among the governing parameters, the Soret number and thermal buoyancy forces play a particularly significant role in shaping the current flow configuration. The magnetic field strength decreases as we move from the conducting plate toward the non-conducting plate. Additionally, the variation in the density of the induced current (and its velocity) between the plates exhibits a parabolic distribution, with the peak values occurring near the center of the flow. When buoyancy forces are sufficiently large and directed forward or downward, they can alter both the flow direction and the orientation of the induced magnetic field and current density.
{"title":"Hall Currents and Soret Effects on MHD Heat and Mass Transfers Flow with Induced Magnetic Field and Current Density between Plates","authors":"H. K. Mandal, D. K. Maiti, R. N. Jana","doi":"10.1134/S1810232825020171","DOIUrl":"10.1134/S1810232825020171","url":null,"abstract":"<p>This study explores the flow of a viscous, incompressible, and electrically conducting fluid between plates, where one is perfectly conducting and the other is non-conducting. It focuses on the influence of thermal and solutal buoyancy forces on heat and mass transfer driven by free convection. Both plates are of infinite length, and a uniform transverse magnetic field is imposed to the flow. The analysis also incorporates the effect of chemical reactions within the fluid. The governing equations for momentum, thermal energy, mass concentration, and generalized Ohm’s law are solved with the Laplace transform method. The study examines the influence of various key parameters, including the Hartmann number, Hall current, Soret number, thermal and solutal Grashof numbers, radiation parameter, Schmidt number, and chemical reaction parameter, on flow characteristics (such as velocity profiles and shear stress), heat transfer (temperature profiles and Nusselt number), mass transfer (concentration profiles and Sherwood number), along with the induced magnetic field and current density. The Lorentz force within the flow suppresses convective activities in the flow domain, leading to a reduction in the viscous drag forces exerted on the plates. Among the governing parameters, the Soret number and thermal buoyancy forces play a particularly significant role in shaping the current flow configuration. The magnetic field strength decreases as we move from the conducting plate toward the non-conducting plate. Additionally, the variation in the density of the induced current (and its velocity) between the plates exhibits a parabolic distribution, with the peak values occurring near the center of the flow. When buoyancy forces are sufficiently large and directed forward or downward, they can alter both the flow direction and the orientation of the induced magnetic field and current density.</p>","PeriodicalId":627,"journal":{"name":"Journal of Engineering Thermophysics","volume":"34 2","pages":"428 - 450"},"PeriodicalIF":1.4,"publicationDate":"2025-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145296421","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2025-10-16DOI: 10.1134/S1810232825020146
Z. Zhang, T. Q. Yang, S. Mehendale, T. Y. Duan, M. M. Wang, N. Sun, S. Q. Wang, J. J. Tian
To investigate the stationary nanofluid droplets effects of substrate surface temperature and particle concentration on the freezing time, deformation, and droplet contact angle during the freezing process, high-speed CCD image observation was used to study the morphological changes during the freezing process of (TiO({}_{2})–H({}_{2})O) nanodroplets. Nanoparticle droplets were prepared in this study using magnetic stirring and ultrasonic mixing. Three substrate surface temperatures (268, 265, and 263 K) and four concentrations of TiO({}_{2}) nanoparticles (5, 10, 30, and 50 mg/mL) were considered. The findings demonstrate that the addition of nanoparticles will result in the droplets appearing sanded, a considerable change in the form of the droplet tip, and a decrease in the release of bubbles upon freezing. The increase in supercooling at high concentrations ((>5) mg/mL) causes the droplet height to rise, its volume to expand upon freezing, and its shape to shift from ‘‘peach-core’’ to ‘‘cone-like.’’ When TiO({}_{2}) nanoparticles were added, the droplets’ longitudinal morphology changed throughout the freezing process, but lateral diffusion was unaffected, even though the contact angle (theta)