Soret and Dufour Effects on the Unsteady Mixed Convection Flow Over a Stretching Surface

2013 ◽  
Vol 29 (4) ◽  
pp. 623-632 ◽  
Author(s):  
F. E. Alsaadi ◽  
S. A. Shehzad ◽  
T. Hayat ◽  
S. J. Monaquel
Keyword(s):  
Mixed Convection ◽  
Second Grade ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Analysis Method ◽  
Stretching Surface ◽  
Soret And Dufour Effects ◽  
Unsteady Mixed Convection ◽  
Homotopy Analysis ◽  
Grade Fluid

ABSTRACTMixed convection flow of second grade fluid bounded by a permeable stretching surface is discussed. Soret and Dufour effects are also present. Series solutions for the resulting problems are made using homotopy analysis method (HAM). Analysis has been carried out for the effects of embedded parameters on the velocity, temperature and concentration fields. Numerical values of Nusselt and Sherwood numbers are computed and discussed.

scholarly journals The unsteady mixed convection flow of rotating second grade fluid in porous medium with ramped wall temperature

2017 ◽  
Vol 13 (4) ◽  
pp. 798-802
Author(s):  
Ahmad Qushairi Mohamad ◽  
Ilyas Khan ◽  
Nor Athirah Mohd Zin ◽  
Zulkhibri Ismail ◽  
Sharidan Shafie
Keyword(s):  
Mixed Convection ◽  
Wall Temperature ◽  
Fluid Velocity ◽  
Second Grade ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Second Grade Fluid ◽  
Porosity Parameter ◽  
Unsteady Mixed Convection ◽  
Grade Fluid

The effects of ramped wall temperature, rotation and porosity on mixed convection flow of incompressible second grade fluid are studied. The momentum equation is modelled in a problem of rotating fluid with constant angular velocity subjected to initial and oscillating boundary conditions. The energy equation is also introduced. Some suitable non-dimensional variables are used to write equations into non-dimensional form. Laplace transform method is used to solve these equations in order to obtain the analytical solutions of velocity and temperature profiles. Computations are carried out and presented graphically to analyse the effect of second grade fluid parameter, rotation parameter, porosity parameter, Prandtl number and Grashof number on the profiles. It is found that, for larger values of porosity parameter, the fluid velocity will increase for both primary and secondary velocities. The results also show that, velocity for ramped wall temperature is lower compared to isothermal temperature. It is worth to mention that, the exact solutions obtained in this study can be used to check correctness of the results obtained through numerical schemes.

scholarly journals Effects of Thermal Radiation on Mixed Convection Flow of a Micropolar Fluid from an Unsteady Stretching Surface with Viscous Dissipation and Heat Generation/Absorption

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Khilap Singh ◽  
Manoj Kumar
Keyword(s):  
Mixed Convection ◽  
Thermal Radiation ◽  
Heat Generation ◽  
Micropolar Fluid ◽  
Numerical Solutions ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Stretching Surface ◽  
Local Skin ◽  
Unsteady Mixed Convection

A numerical model is developed to examine the effects of thermal radiation on unsteady mixed convection flow of a viscous dissipating incompressible micropolar fluid adjacent to a heated vertical stretching surface in the presence of the buoyancy force and heat generation/absorption. The Rosseland approximation is used to describe the radiative heat flux in the energy equation. The model contains nonlinear coupled partial differential equations which have been converted into ordinary differential equation by using the similarity transformations. The dimensionless governing equations for this investigation are solved by Runge-Kutta-Fehlberg fourth fifth-order method with shooting technique. Numerical solutions are then obtained and investigated in detail for different interesting parameters such as the local skin-friction coefficient, wall couple stress, and Nusselt number as well as other parametric values such as the velocity, angular velocity, and temperature.

Influence of Thermal Radiation on the Unsteady Mixed Convection Flow of a Jeffrey Fluid over a Stretching Sheet

2010 ◽  
Vol 65 (8-9) ◽  
pp. 711-719 ◽  
Author(s):  
Tasawar Hayat ◽  
Meraj Mustafa
Keyword(s):  
Heat Transfer ◽  
Mixed Convection ◽  
Thermal Radiation ◽  
Deborah Number ◽  
Convection Flow ◽  
Jeffrey Fluid ◽  
Mixed Convection Flow ◽  
Suction Parameter ◽  
Unsteady Mixed Convection ◽  
Homotopy Analysis

This study is concerned with the effect of thermal radiation on the unsteady mixed convection flow of a Jeffrey fluid past a porous vertical stretching surface. The arising problems of flow and heat transfer are solved analytically by employing homotopy analysis method (HAM). It is observed that the flow field is influenced appreciably by the unsteadiness parameter ζ , suction parameter S, mixed convection parameter λ , Deborah number β , Prandtl number Pr, and the radiation parameter Nr. Our performed computations depict that the heat transfer rate is increased with increasing values of Pr, Nr, and ζ

Unsteady Three-Dimensional Flow in a Second-Grade Fluid Over a Stretching Surface

2011 ◽  
Vol 66 (10-11) ◽  
pp. 635-642 ◽  
Author(s):  
Tasawar Hayat ◽  
Ambreen Safdar ◽  
Muhammad Awais ◽  
Awatif A. Hendi
Keyword(s):  
Differential Equations ◽  
Nonlinear Partial Differential Equations ◽  
Three Dimensional ◽  
Second Grade ◽  
Analysis Method ◽  
Second Grade Fluid ◽  
Stretching Surface ◽  
Similarity Transformations ◽  
Homotopy Analysis ◽  
Grade Fluid

The three-dimensional unsteady flow induced in a second-grade fluid over a stretching surface has been investigated. Nonlinear partial differential equations are reduced into a system of ordinary differential equations by using the similarity transformations. The homotopy analysis method (HAM) has been implemented for the series solutions. Graphs are displayed for the effects of different parameters on the velocity field.

Mixed convection flow on MHD non-coaxial rotation of second grade fluid in a porous medium

2017 ◽  
Author(s):  
Ahmad Qushairi Bin Mohamad ◽  
Ilyas Khan ◽  
Nor Athirah Mohd Zin ◽  
Zaiton Mat Isa ◽  
Sharidan Shafie ◽  
...  
Keyword(s):  
Porous Medium ◽  
Mixed Convection ◽  
Second Grade ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Second Grade Fluid ◽  
Grade Fluid
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