Pub Date : 2020-02-26DOI: 10.52292/J.LAAR.2020.213
C. Rajashekhar, G. Manjunath, Hanumesh Vaidya, K. Prasad, B. DivyaB, J. Saraswati
The present paper examines the impact of heat and mass transfer on the peristaltic flow of Rabinowitsch fluid through a non-uniform channel. The effects of slip and variable fluid properties are taken into account. The impacts of wall rigidity, wall stiffness, and viscous damping force parameter are considered. The equations governing the flow are rendered dimensionless by using a suitable similarity transformation. The governing equations of momentum, motion, energy, and concentration are solved by utilizing long wavelength and small Reynolds number approximation. The MATLAB 2019a programming has been used to obtain the solutions for velocity and concentration profiles. The series solution technique has been utilized to get the expression for temperature. The influence of relevant parameters on velocity, temperature, concentration, and streamlines are examined for viscous, shear-thinning, and shear thickening fluid models. The examination uncovers that a rise in the value of variable viscosity and variable thermal conductivity improves the velocity and temperature profiles for Newtonian and pseudoplastic fluid models. Moreover, an increase in the volume of the trapped bolus is seen for an expansion in the estimation of the velocity slip parameter for all the three considered models.
{"title":"ANALYSIS OF PERISTALTIC FLOW OF RABINOWITSCH FLUID IN A NON-UNIFORM CHANNEL: ANALYTICAL APPROACH","authors":"C. Rajashekhar, G. Manjunath, Hanumesh Vaidya, K. Prasad, B. DivyaB, J. Saraswati","doi":"10.52292/J.LAAR.2020.213","DOIUrl":"https://doi.org/10.52292/J.LAAR.2020.213","url":null,"abstract":"The present paper examines the impact of heat and mass transfer on the peristaltic flow of Rabinowitsch fluid through a non-uniform channel. The effects of slip and variable fluid properties are taken into account. The impacts of wall rigidity, wall stiffness, and viscous damping force parameter are considered. The equations governing the flow are rendered dimensionless by using a suitable similarity transformation. The governing equations of momentum, motion, energy, and concentration are solved by utilizing long wavelength and small Reynolds number approximation. The MATLAB 2019a programming has been used to obtain the solutions for velocity and concentration profiles. The series solution technique has been utilized to get the expression for temperature. The influence of relevant parameters on velocity, temperature, concentration, and streamlines are examined for viscous, shear-thinning, and shear thickening fluid models. The examination uncovers that a rise in the value of variable viscosity and variable thermal conductivity improves the velocity and temperature profiles for Newtonian and pseudoplastic fluid models. Moreover, an increase in the volume of the trapped bolus is seen for an expansion in the estimation of the velocity slip parameter for all the three considered models.","PeriodicalId":49916,"journal":{"name":"Latin American Applied Research","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47665107","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 : 2015-01-01DOI: 10.18642/jmsaa_7100121422
Jian Yang, Xiaojuan Lu, Shengqiang Tang
By using transformation , 2 3 2 1 u a u a a u + + = ′ ′ the method of sine-cosine and the method of dynamical bifurcation theory of the differentiable dynamics, we study the generalized Kuramoto-Sivashinsky equation. It is shown that the generalized Kuramoto-Sivashinsky equation gives solitary wave solution, solitary patterns wave solution, and periodic wave solution. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. All exact explicit parametric representations of the above waves are determined.
利用变换、2 3 2 1 ua ua a u + + = ' '、正弦-余弦方法和可微动力学的动力分岔理论方法，研究了广义Kuramoto-Sivashinsky方程。证明了广义Kuramoto-Sivashinsky方程给出了孤波解、孤型波解和周期波解。在不同的参数条件下，给出了保证上述解存在的各种充分条件。确定了上述波的所有精确的显式参数表示。
{"title":"EXACT TRAVELLING WAVE SOLUTIONS FOR THE GENERALIZED KURAMOTO-SIVASHINSKY EQUATION","authors":"Jian Yang, Xiaojuan Lu, Shengqiang Tang","doi":"10.18642/jmsaa_7100121422","DOIUrl":"https://doi.org/10.18642/jmsaa_7100121422","url":null,"abstract":"By using transformation , 2 3 2 1 u a u a a u + + = ′ ′ the method of sine-cosine and the method of dynamical bifurcation theory of the differentiable dynamics, we study the generalized Kuramoto-Sivashinsky equation. It is shown that the generalized Kuramoto-Sivashinsky equation gives solitary wave solution, solitary patterns wave solution, and periodic wave solution. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. All exact explicit parametric representations of the above waves are determined.","PeriodicalId":49916,"journal":{"name":"Latin American Applied Research","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67679286","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 : 2006-01-01DOI: 10.1007/978-3-642-03037-6_3
E. Slawiñski, V. Mut, J. Postigo
{"title":"Stability of systems with time-varying delay","authors":"E. Slawiñski, V. Mut, J. Postigo","doi":"10.1007/978-3-642-03037-6_3","DOIUrl":"https://doi.org/10.1007/978-3-642-03037-6_3","url":null,"abstract":"","PeriodicalId":49916,"journal":{"name":"Latin American Applied Research","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2006-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1007/978-3-642-03037-6_3","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"51069301","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 : 1997-04-14DOI: 10.1016/S0927-7757(97)00001-0
D. Damiani, A. Juan, C. Moro
{"title":"Molybdenum oxide-supported ru catalysts. Characterization and evaluation in the syngas reaction","authors":"D. Damiani, A. Juan, C. Moro","doi":"10.1016/S0927-7757(97)00001-0","DOIUrl":"https://doi.org/10.1016/S0927-7757(97)00001-0","url":null,"abstract":"","PeriodicalId":49916,"journal":{"name":"Latin American Applied Research","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"1997-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0927-7757(97)00001-0","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"56561515","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}
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