Steady Flow of Maxwell Fluid with Convective Boundary Conditions

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

2013 ◽  
Vol 29 (3) ◽  
pp. 403-409 ◽  
Author(s):  
T. Hayat ◽  
M. Waqas ◽  
S. A. Shehzad ◽  
A. Alsaedi

AbstractEffects of thermal radiation in mixed convection stagnation point flow over a moving surface subject to convective boundary conditions is addressed. Mathematical modeling is based upon constitutive equations of an incompressible Maxwell fluid. Nonlinear analysis is presented through implementation of homotopy analysis method. Numerical values of Local Nusselt number is computed and analyzed.


2011 ◽  
Vol 15 (suppl. 2) ◽  
pp. 253-261 ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir Shehzad ◽  
Muhammad Qasim ◽  
Saleem Obaidat

The flow and heat transfer in a second grade fluid over a stretching sheet subjected to convective boundary conditions are investegated. Similarity transformations have been used for the reduction of partial differential equation into the ordinary differential. Homotopy analysis method (HAM) has been utilized for the series solutions. Graphical results are displayed and analyzed. Computations for local Nusselt number have been carried out.


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

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