Analysis of Mixed Convection in a Vertical Channel in the Presence of Electrical Double Layers

2018 ◽  
Vol 73 (8) ◽  
pp. 741-751 ◽  
Author(s):  
Niazi M. Dilawar Khan ◽  
Hang Xu ◽  
Qingkai Zhao ◽  
Qiang Sun
Keyword(s):  
Mixed Convection ◽  
Electrical Potential ◽  
Vertical Channel ◽  
External Pressure ◽  
Double Layers ◽  
Convection Flow ◽  
Analysis Method ◽  
Flow Models ◽  
Electrical Double Layers ◽  
Homotopy Analysis

AbstractWe consider the fully developed mixed convection flow in a vertical channel driven by an external pressure gradient and buoyancy force. Unlike in previous studies, we employ a new model to formulate the flow problem that guarantees the smoothness and continuity of the distributions of the electrical potential and velocity. This model, solved by the homotopy analysis method, is compatible with the channel flow models commonly used in fluid mechanics.

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.

Effects of Soret, Hall and Ion-slip on mixed convection in an electrically conducting Casson fluid in a vertical channel

2016 ◽  
Vol 5 (3) ◽  
Author(s):  
Ch. RamReddy ◽  
O. Surender ◽  
Ch. Venkata Rao
Keyword(s):  
Mixed Convection ◽  
Viscous Dissipation ◽  
Homotopy Analysis Method ◽  
Vertical Channel ◽  
Casson Fluid ◽  
Analysis Method ◽  
Electrically Conducting ◽  
Adomian Decomposition ◽  
Homotopy Analysis ◽  
Ion Slip

AbstractThe significance of Soret, Hall and Ion-slip effects on mixed convection flow of an electrically conducting Casson fluid in a vertical channel in the presence of viscous dissipation is analyzed. The system of flow governing equations are converted into the system of non-dimensional equations using appropriate non-dimensional transformations and hence solved analytically by homotopy analysis method. A quantitative comparison is made between homotopy analysis method and Adomian decomposition method and the results are found to be in good agreement. The dimensionless velocity, temperature and species concentration profiles are illustrated graphically and quantitatively with special focus on the Casson fluid, Soret, viscous dissipation, Hall and Ion-slip parameters.

scholarly journals Homotopy Analysis Solution of Hydromagnetic Mixed Convection Flow Past an Exponentially Stretching Sheet with Hall Current

2012 ◽  
Vol 2012 ◽  
pp. 1-26 ◽  
Author(s):  
Mohamed Abd El-Aziz ◽  
Tamer Nabil
Keyword(s):  
Magnetic Field ◽  
Mixed Convection ◽  
Convection Flow ◽  
Mixed Convection Flow ◽  
Electrically Conducting ◽  
Hall Parameter ◽  
Homotopy Analysis ◽  
Continuous Sheet ◽  
Exponentially Stretching ◽  
The Magnetic Field

The effect of thermal radiation on steady hydromagnetic heat transfer by mixed convection flow of a viscous incompressible and electrically conducting fluid past an exponentially stretching continuous sheet is examined. Wall temperature and stretching velocity are assumed to vary according to specific exponential forms. An external strong uniform magnetic field is applied perpendicular to the sheet and the Hall effect is taken into consideration. The resulting governing equations are transformed into a system of nonlinear ordinary differential equations using appropriate transformations and then solved analytically by the homotopy analysis method (HAM). The solution is found to be dependent on six governing parameters including the magnetic field parameterM, Hall parameterm, the buoyancy parameterξ, the radiation parameterR, the parameter of temperature distributiona, and Prandtl number Pr. A systematic study is carried out to illustrate the effects of these major parameters on the velocity and temperature distributions in the boundary layer, the skin-friction coefficients, and the local Nusselt number.

Mixed Convection Radiative Flow of Maxwell Fluid Near a Stagnation Point with Convective Condition

2013 ◽  
Vol 29 (3) ◽  
pp. 403-409 ◽  
Author(s):  
T. Hayat ◽  
M. Waqas ◽  
S. A. Shehzad ◽  
A. Alsaedi
Keyword(s):  
Mathematical Modeling ◽  
Nusselt Number ◽  
Mixed Convection ◽  
Stagnation Point ◽  
Maxwell Fluid ◽  
Convective Boundary Conditions ◽  
Analysis Method ◽  
Convective Condition ◽  
Convective Boundary ◽  
Homotopy Analysis

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.

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