Time-Dependent Second-Order Viscoelastic Fluid Flow on Rotating Cone with Heat Generation and Chemical Reaction

2016 ◽  
Vol 29 (4) ◽  
pp. 04016009 ◽  
Author(s):  
Salman Saleem ◽  
Sohail Nadeem ◽  
Muhammad Awais
Keyword(s):  
Fluid Flow ◽  
Chemical Reaction ◽  
Viscoelastic Fluid ◽  
Heat Generation ◽  
Second Order ◽  
Time Dependent ◽  
Rotating Cone

Numerical Study of MHD Viscoelastic Fluid Flow with Binary Chemical Reaction and Arrhenius Activation Energy

2017 ◽  
Vol 15 (1) ◽  
Author(s):  
M. Mustafa ◽  
A. Mushtaq ◽  
T. Hayat ◽  
A. Alsaedi
Keyword(s):  
Activation Energy ◽  
Fluid Flow ◽  
Chemical Reaction ◽  
Viscoelastic Fluid ◽  
Numerical Study ◽  
Fluid Model ◽  
Constitutive Relations ◽  
Mathematical Formulation ◽  
Large Temperature ◽  
Temperature Function

Abstract Here we address the influence of heat/mass transfer on MHD axisymmetric viscoelastic fluid flow developed by an elastic sheet stretching linearly in the radial direction. Constitutive relations of Maxwell fluid model are utilized in mathematical formulation of the problem. Non-linear radiation heat flux is factored in the model which accounts for both small and large temperature differences. Chemical reaction effects with modified Arrhenius energy function are analyzed which are not yet explored for viscoelastic fluid flows. Highly accurate numerical computations are performed. Our computations show S-shaped profiles of temperature function in case of sufficiently large temperature differences. Species concentration increases when activation energy for chemical reaction is increased. However, both chemical reaction rate and temperature gradient tend to reduce the solute concentration.

scholarly journals Existence, uniqueness, and quasilinearization results for nonlinear differential equations arising in viscoelastic fluid flow

2006 ◽  
Vol 2006 ◽  
pp. 1-9 ◽  
Author(s):  
F. Talay Akyildiz ◽  
K. Vajravelu
Keyword(s):  
Fluid Flow ◽  
Differential Equations ◽  
Viscoelastic Fluid ◽  
Poiseuille Flow ◽  
Nonlinear Differential Equations ◽  
Second Order ◽  
Numerical Results ◽  
Second Order Differential Equations ◽  
Salient Features ◽  
Quasilinearization Technique

Solutions for a class of nonlinear second-order differential equations arising in steady Poiseuille flow of an Oldroyd six-constant model are obtained using the quasilinearization technique. Existence, uniqueness, and analyticity results are established using Schauder theory. Numerical results are presented graphically and salient features of the solutions are discussed.

scholarly journals Ion Slip Effect on Viscoelastic Fluid Flow past an Impulsively Started Infinite Vertical Plate Embedded in a Porous Medium with Chemical Reaction

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Rita Choudhury ◽  
Paban Dhar
Keyword(s):  
Mass Transfer ◽  
Porous Medium ◽  
Fluid Flow ◽  
Chemical Reaction ◽  
Viscoelastic Fluid ◽  
Vertical Plate ◽  
Perturbation Scheme ◽  
Shearing Stress ◽  
Ion Slip ◽  
Infinite Vertical Plate

This paper presents the study of convective heat and mass transfer characteristics of an incompressible MHD viscoelastic fluid past an infinite vertical plate immersed in a porous medium with chemical reaction and ion slip effects. Highly nondimensional governing equations are solved analytically by perturbation scheme. The analytical expressions for velocity, shearing stress, temperature, concentration, rate of heat transfer, and mass transfer are obtained. Also, graphical representations have been carried out for velocity field and shearing stress to investigate the effects of viscoelasticity and the effects of ion slip on the fluid flow in combination with other physical parameters involved in the solution.

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