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Convective Conditions on Magnetohydrodynamic Flow Over Stretched Cylinder with Time and Space Dependent Heat Source or Sink


Affiliations
1 Higher College of Technology, Muscat -105, Oman
2 Department of Mathematics, S.P.M.V.V, Tirupati, A.P., India
3 Department of Mathematics, GITAM University, Bangalore Campus, K.A., India
4 Dept. of Mechanical Engineering, NIT Warangal, Warangal (Telangana), India
     

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The present study emphases steady boundary layer flow and heat transfer of a hyperbolic tangent fluid flowing over a vertical exponentially stretching cylinder in its axial directionwith non-uniform heat source/sink. Proposed mathematical model has a tendency to characterize the effect of the non-uniform heat source/sink. The non-linear ordinary differential equations are solved using the Runge-Kutta Feldberg (RKF) integration method. The characteristics of velocity and temperature boundary layers in the presence of Weissennberg number We are presented for different physical parameters such as heat source/ sink parameter, Reynolds number Re, the Prandtl number Pr , the Weissennberg number We and the natural convection parameter λ , magnetic field parameter and porosity parameter K . Moreover, the friction factor coefficients, Nusselt number are also estimated and discussed for aforesaid physical parameters. In addition, the rate of heat transfer rate is higher in case of We = 0.5 compared toWe = 0 with n = 0.2 .

Keywords

Weissennberg Number, Stretching Cylinder, Non-Uniform Heat Source/Sink, Non-Newtonian Fluid.
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  • Convective Conditions on Magnetohydrodynamic Flow Over Stretched Cylinder with Time and Space Dependent Heat Source or Sink

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Authors

B. Madhusudhana Rao
Higher College of Technology, Muscat -105, Oman
V. Nagendramma
Department of Mathematics, S.P.M.V.V, Tirupati, A.P., India
C. S. K. Raju
Department of Mathematics, GITAM University, Bangalore Campus, K.A., India
A. Leelaratnam
Department of Mathematics, S.P.M.V.V, Tirupati, A.P., India
P. Prakash
Dept. of Mechanical Engineering, NIT Warangal, Warangal (Telangana), India

Abstract


The present study emphases steady boundary layer flow and heat transfer of a hyperbolic tangent fluid flowing over a vertical exponentially stretching cylinder in its axial directionwith non-uniform heat source/sink. Proposed mathematical model has a tendency to characterize the effect of the non-uniform heat source/sink. The non-linear ordinary differential equations are solved using the Runge-Kutta Feldberg (RKF) integration method. The characteristics of velocity and temperature boundary layers in the presence of Weissennberg number We are presented for different physical parameters such as heat source/ sink parameter, Reynolds number Re, the Prandtl number Pr , the Weissennberg number We and the natural convection parameter λ , magnetic field parameter and porosity parameter K . Moreover, the friction factor coefficients, Nusselt number are also estimated and discussed for aforesaid physical parameters. In addition, the rate of heat transfer rate is higher in case of We = 0.5 compared toWe = 0 with n = 0.2 .

Keywords


Weissennberg Number, Stretching Cylinder, Non-Uniform Heat Source/Sink, Non-Newtonian Fluid.

References