Slip MHD liquid flow and heat transfer over non-linear permeable stretching surface with chemical reaction

2011 ◽  
Vol 54 (15-16) ◽  
pp. 3214-3225 ◽  
Author(s):  
M.H. Yazdi ◽  
S. Abdullah ◽  
I. Hashim ◽  
K. Sopian
Keyword(s):  
Heat Transfer ◽  
Chemical Reaction ◽  
Liquid Flow ◽  
Stretching Surface ◽  
Flow And Heat Transfer ◽  
Non Linear

Slip Effect on Magnetohydrodynamic Flow and Heat Transfer of Jeffrey Nanofluid Over a Stretching Sheet in the Presence of Non Linear Thermal Radiation and Chemical Reaction

2020 ◽  
Vol 17 (4) ◽  
pp. 1953-1962
Author(s):  
J. Suresh Goud ◽  
P. Srilatha ◽  
K. Thanesh Kumar ◽  
S. Devraj
Keyword(s):  
Heat Transfer ◽  
Brownian Motion ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Slip Flow ◽  
Deborah Number ◽  
Flow And Heat Transfer ◽  
Non Linear ◽  
Jeffrey Nanofluid

Analysis has been conducted to analyze the effects of second order slip flow and heat transfer of Jeffrey nanofluid over a stretching sheet with non linear thermal radiation and chemical reaction. The effects of Brownian motion and thermophoresis occur in the transport equations. The velocity, temperature and nanoparticle concentration profiles are analyzed with respect to the involved parameters of interest namely Brownian motion parameters, thermophoresis parameter, magnetic parameter, radiation parameter, Prandtl number, Lewis number, chemical reaction parameter, and Deborah number, Convergence of the derived solutions was checked and the influence of embedded parameters was analyzed by plotting graphs. It was noticed that the velocity increases with an increase in the Deborah number. We further found that for fixed values of other parameters, numerical values of the skin friction coefficient, local Nusselt numbers and Sherwood numbers were computed and examined. A comparative study between the previous published and present results in a limiting sense is found in an excellent agreement.

scholarly journals Magneto-Hydro Dynamic Flow and Heat Transfer of Nonnewtonian Power-Law Fluid Over a Non-Linear Stretching Surface with Viscous Dissipation

2014 ◽  
Vol 19 (2) ◽  
pp. 259-273 ◽  
Author(s):  
N. Kishan ◽  
P. Kavitha
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Differential Equations ◽  
Ordinary Differential Equations ◽  
Power Law ◽  
Transverse Magnetic ◽  
Stretching Surface ◽  
Power Law Fluid ◽  
Flow And Heat Transfer ◽  
Non Linear

Abstract A fluid flow and heat transfer analysis of an electrically conducting non-Newtonian power law fluid flowing over a non-linear stretching surface in the presence of a transverse magnetic field taking into consideration viscous dissipation effects is investigated. The stretching velocity, the temperature and the transverse magnetic field are assumed to vary in a power-law with the distance from the origin. The flow is induced due to an infinite elastic sheet which is stretched in its own plane. The governing equations are reduced to non-linear ordinary differential equations by means of similarity transformations. By using quasi-linearization techniques first linearize the non linear momentum equation is linearized and then the coupled ordinary differential equations are solved numerically by an implicit finite difference scheme. The numerical solution is found to be dependent on several governing parameters, including the magnetic field parameter, power-law index, Eckert number, velocity exponent parameter, temperature exponent parameter, modified Prandtl number and heat source/sink parameter. A systematic study is carried out to illustrate the effects of these parameters on the fluid velocity and the temperature distribution in the boundary layer. The results for the local skin-friction coefficient and the local Nusselt number are tabulated and discussed.

scholarly journals Flow and heat transfer over a stretching surface with variable thickness in a Maxwell fluid and porous medium with radiation

2019 ◽  
Vol 23 (5 Part B) ◽  
pp. 3105-3116
Author(s):  
Elsayed Elbashbeshy ◽  
Hamada Asker ◽  
Khaled Abdelgaber
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Variable Thickness ◽  
Maxwell Fluid ◽  
Stretching Surface ◽  
Flow And Heat Transfer ◽  
Special Cases ◽  
Non Linear ◽  
Linear Ode ◽  
Conductivity Parameter

The effect of thermal radiation on flow and heat transfer of Maxwell fluid over a stretching surface with variable thickness embedded in a porous medium is considered. The governing non-linear PDE are transformed into a non-linear ODE by using a similarity transformation. These equations were solved numerically with fourth/fifth-order Runge-Kutta method. A comparison of obtained numerical results is made with the previously results in some special cases and excellent agreement is noted. The effects of elasticity, radiation parameter, porosity parameter, wall thickness parameter, and thermal conductivity parameter on the velocity and temperature profiles are presented. Moreover, the skin-friction and Nusselt number are presented.

Numerical modeling of the influence of bubbles on flow and heat transfer in the descending gas-liquid flow in a pipe

2012 ◽  
Vol 9 (1) ◽  
pp. 131-135
Author(s):  
M.A. Pakhomov
Keyword(s):  
Heat Transfer ◽  
Gas Phase ◽  
Liquid Flow ◽  
Bubble Diameter ◽  
Gas Content ◽  
Two Phase ◽  
Eulerian Description ◽  
Flow And Heat Transfer ◽  
Gas Liquid Flow ◽  
The Mathematical Model

The paper presents the results of modeling the dynamics of flow, friction and heat transfer in a descending gas-liquid flow in the pipe. The mathematical model is based on the use of the Eulerian description for both phases. The effect of a change in the degree of dispersion of the gas phase at the input, flow rate, initial liquid temperature and its friction and heat transfer rate in a two-phase flow. Addition of the gas phase causes an increase in heat transfer and friction on the wall, and these effects become more noticeable with increasing gas content and bubble diameter.

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