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The Flow of Hyperbolic Tangent Fluid Over Exponentially Stretching Cylinder with Heat Source or Sink


Affiliations
1 Department of BS and H (Mathematics), Sree Vidyanikethan Engineering College (Autonomous), A. Rangampet, Tirupati-517102, (A.P), India
2 Dept. of Mathematics, GITAM University, Bangalore Campus, Bangalore, Karnataka (St.), India
3 Sri Padmavathi Mahila Degree and PG College, Tirupati, (A.P), India
4 Dept. of H. and S., Annamacharya Institute of Science and Technology (Autonomous), Rajampet-516126, Y.S.R. Kadapa (Dt), A.P.(St.), India
     

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The present problem is the steady boundary layer flow and heat transfer of a hyperbolic tangent fluid flowing over a vertical exponentially stretching cylinder in its axial direction with heat source or sink. After applying usual boundary layer with a suitable similarity transformation to the given partial differential equations and the boundary conditions, a system of coupled nonlinear ordinary differential equations is obtained. This system of ordinary differential equations subject to the boundary conditions is solved with the help of Runge-Kutta method along shooting technique. The effects of the involved parameters such as Reynolds number, Prandtl number, Weissennberg number, power law index parameter and the natural convention parameter are presented through the graphs. The associated physical properties on the flow and heat transfer characteristics that are the skin friction coefficient and Nusselt number are presented for various parameters.

Keywords

Hyperbolic, Cylinder, Heat Source or Sink, Reynolds Number, Weissennberg Number.
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  • The Flow of Hyperbolic Tangent Fluid Over Exponentially Stretching Cylinder with Heat Source or Sink

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Authors

K. Venkateswara Raju
Department of BS and H (Mathematics), Sree Vidyanikethan Engineering College (Autonomous), A. Rangampet, Tirupati-517102, (A.P), India
C. S. K. Raju
Dept. of Mathematics, GITAM University, Bangalore Campus, Bangalore, Karnataka (St.), India
B. Mamata
Sri Padmavathi Mahila Degree and PG College, Tirupati, (A.P), India
M. C. Raju
Dept. of H. and S., Annamacharya Institute of Science and Technology (Autonomous), Rajampet-516126, Y.S.R. Kadapa (Dt), A.P.(St.), India

Abstract


The present problem is the steady boundary layer flow and heat transfer of a hyperbolic tangent fluid flowing over a vertical exponentially stretching cylinder in its axial direction with heat source or sink. After applying usual boundary layer with a suitable similarity transformation to the given partial differential equations and the boundary conditions, a system of coupled nonlinear ordinary differential equations is obtained. This system of ordinary differential equations subject to the boundary conditions is solved with the help of Runge-Kutta method along shooting technique. The effects of the involved parameters such as Reynolds number, Prandtl number, Weissennberg number, power law index parameter and the natural convention parameter are presented through the graphs. The associated physical properties on the flow and heat transfer characteristics that are the skin friction coefficient and Nusselt number are presented for various parameters.

Keywords


Hyperbolic, Cylinder, Heat Source or Sink, Reynolds Number, Weissennberg Number.

References