Momentum and heat transfer of an upper-convected Maxwell fluid over a moving surface with convective boundary conditions

2012 ◽  
Vol 252 ◽  
pp. 242-247 ◽  
Author(s):  
T. Hayat ◽  
Z. Iqbal ◽  
M. Mustafa ◽  
A. Alsaedi

2012 ◽  
Vol 67 (5) ◽  
pp. 217-224 ◽  
Author(s):  
Tasawar Hayat ◽  
Zahid Iqbal ◽  
Muhammad Qasim ◽  
Omar M. Aldossary

This investigation reports the boundary layer flow and heat transfer characteristics in a couple stress fluid flow over a continuos moving surface with a parallel free stream. The effects of heat generation in the presence of convective boundary conditions are also investigated. Series solutions for the velocity and temperature distributions are obtained by the homotopy analysis method (HAM). Convergence of obtained series solutions are analyzed. The results are obtained and discussed through graphs for physical parameters of interest.



2011 ◽  
Vol 66 (6-7) ◽  
pp. 417-422 ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir Ali Shehzad ◽  
Muhammad Qasim ◽  
Saleem Obaidat

We performed a study for the flow of a Maxwell fluid induced by a stretching surface. Heat transfer is also addressed by using the convective boundary conditions. We solved the nonlinear problem by employing a homotopy analysis method (HAM).We computed the velocity, temperature, and Nusselt number. The role of embedded parameters on the velocity and temperature is particularly analyzed



Author(s):  
Tirivanhu Chinyoka ◽  
Daniel Oluwole Makinde

Purpose – The purpose of this paper is to examine the unsteady pressure-driven flow of a reactive third-grade non-Newtonian fluid in a channel filled with a porous medium. The flow is subjected to buoyancy, suction/injection asymmetrical and convective boundary conditions. Design/methodology/approach – The authors assume that exothermic chemical reactions take place within the flow system and that the asymmetric convective heat exchange with the ambient at the surfaces follow Newton’s law of cooling. The authors also assume unidirectional suction injection flow of uniform strength across the channel. The flow system is modeled via coupled non-linear partial differential equations derived from conservation laws of physics. The flow velocity and temperature are obtained by solving the governing equations numerically using semi-implicit finite difference methods. Findings – The authors present the results graphically and draw qualitative and quantitative observations and conclusions with respect to various parameters embedded in the problem. In particular the authors make observations regarding the effects of bouyancy, convective boundary conditions, suction/injection, non-Newtonian character and reaction strength on the flow velocity, temperature, wall shear stress and wall heat transfer. Originality/value – The combined fluid dynamical, porous media and heat transfer effects investigated in this paper have to the authors’ knowledge not been studied. Such fluid dynamical problems find important application in petroleum recovery.



AIP Advances ◽  
2015 ◽  
Vol 5 (2) ◽  
pp. 027106 ◽  
Author(s):  
M. Mustafa ◽  
Junaid Ahmad Khan ◽  
T. Hayat ◽  
A. Alsaedi




2015 ◽  
Vol 138 (4) ◽  
Author(s):  
Rajai S. Alassar ◽  
Mohammed A. Abushoshah

The problem of a hot torus left to cool in a medium of known temperature is studied. We write the governing equation in toroidal coordinates and expand the temperature in terms of a series in the angular direction. The resulting modes in the radial direction are numerically obtained. We consider both isothermal and convective boundary conditions and study the effect of Biot number and aspect ratio on the heat transfer rate.



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