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### Prakash, P.

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

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1 Higher College of Technology, Muscat -105, OM

2 Department of Mathematics, S.P.M.V.V, Tirupati, A.P., IN

3 Department of Mathematics, GITAM University, Bangalore Campus, K.A., IN

4 Dept. of Mechanical Engineering, NIT Warangal, Warangal (Telangana), IN

#### Authors

B. Madhusudhana Rao

^{1}, V. Nagendramma^{2}, C. S. K. Raju^{3}, A. Leelaratnam^{2}, P. Prakash^{4}**Affiliations**

1 Higher College of Technology, Muscat -105, OM

2 Department of Mathematics, S.P.M.V.V, Tirupati, A.P., IN

3 Department of Mathematics, GITAM University, Bangalore Campus, K.A., IN

4 Dept. of Mechanical Engineering, NIT Warangal, Warangal (Telangana), IN

#### Source

Research Journal of Science and Technology, Vol 9, No 4 (2017), Pagination: 569-575#### 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

- Ahmad K. Hanouf Z. Ishak A. Mixed convection Jeffrey fluid flow over an exponentially stretching sheet with magnetohydrodynamic effect. AIP Advances. 2016;6: 035024.
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- Crane L. Flow past a stretching plate. Angew Z. Math. Phy.1970; 21: p. 645-647.
- Cortell R. Flow and Heat transfer of fluid through a pours medium over a stretching sheet with internal heat generation /absorption suction blowing. Fluid Dyn. Res. 2005:37:p.231-245.
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- The Flow of Magnetohydrodynamic Flow Over Cylinder with Heat Source or Sink

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1 Department of BS&H (Mathematics), Sree Vidyanikethan Engineering College (Autonomous), A. Rangampet, Tirupati-517102, (A.P), IN

2 Dept. of Mathematics, S.V. University, Tirupati (A.P), IN

3 Dept. Of Mathematics, GITAM University, Bangalore (K.A), IN

4 Dept. of Mechanical Engineering, NIT Warangal, Warangal (Telangana), IN

#### Authors

**Affiliations**

1 Department of BS&H (Mathematics), Sree Vidyanikethan Engineering College (Autonomous), A. Rangampet, Tirupati-517102, (A.P), IN

2 Dept. of Mathematics, S.V. University, Tirupati (A.P), IN

3 Dept. Of Mathematics, GITAM University, Bangalore (K.A), IN

4 Dept. of Mechanical Engineering, NIT Warangal, Warangal (Telangana), IN

#### Source

Research Journal of Science and Technology, Vol 9, No 4 (2017), Pagination: 583-588#### Abstract

A theoretical analysis performed for investigating steady boundary layer flow of magnetohydrodynamic flow over cylinder with heat source/sink. Proposed mathematical model has a tendency to characterize the effect of magnetohydrodynamic flow over cylinder heat source/sink. The non-linear ordinary differential equations are solved using the Runge-Kutta method. The characteristics of velocity and temperature boundary layers for different physical parameters such as heat source parameter*Q*

_{H}, Reynolds number Re, the Prandtl number Pr , the magnetic field parameter

*M*and power law index parameter

*n*. Moreover, the local friction factor coefficients, Nusselt number are also estimated and discussed for aforesaid physical parameters. It is observed that heat transfer rate increases with in power law index parameter and magnetic field parameter while decrease in power law index parameter and Reynolds number.

#### Keywords

Stretching Cylinder, Magnetohydrodynamic, Prandtl Number, Power Law Index Parameter.#### References

- Crane L. Flow past a stretching plate, Z. Angew. Math. Phy, 1970; 21:p.645-647.
- Cortell R. Flow and Heat transfer of fluid through a pours medium over a stretching sheet with internal heat generation/absorption suction/blowing, Fluid Dyn. Res. 2005; 37:p.231-245.
- IbrahimW. Makinde O. D. Magnetohydrodynamic stagnation point flow and heat transfer of Casson nanofluid past a stretching sheet with slip and convective boundary condition. Journal of Aerospace Engineering, 2016; 29: 04015037.
- IbrahimW. Makinde O.D. Magnetohydrodynamic stagnation point flow of a power-law nanofluid towards a convectively heated stretching sheet with slip. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering. 2016; 230: p. 345-354.
- Nadeem S. Akram S. Peristaltic transport of a hyperbolic tangent fluid model in an asymmetric channel, Z. Naturforsch. 2009; 64: p. 559– 567.
- Nadeem S. Akram S. Effects of partial slip on the peristaltic transport of a hyperbolic tangent fluid model in an asymmetric channel, Int. J. Numer. Methods Fluids. 2010; 63:p. 374-394.
- Nadeem S. Rehman A. Lee C. Lee J. Boundary layer flow of second grade fluid in a cylinder with heat transfer, Math. Prob. Eng. 2012; 212:doi.org/10.1155/2012/640289.
- Nadeem S. Rehman A. Vajravelu K. Lee J. Lee C. Axisymmetric stagnation flow of a micropolar nanofluid in a moving cylinder, Math. Prob. Eng. 2012: 2012: doi.org/10.1155/2012/378259.
- Gorla RSR Axisymmetric thermal boundary layer of a micropolar fluid on a cylinder. Int. J. Eng. Sci. 1985; 23 p.401–407.
- Gorla RGR Ameri A. Boundary layer flow of a micropolar fluid on a continuous moving cylinder, Acta Mech. 1985; 57:p.203-214.
- Wang TY. Mixed convection heat transfer from a vertical plate to non-Newtonian fluids, Int. J. Heat Fluid Flow.1995; 16:p.56-61.
- Wang CY. Natural convection on a vertical stretching cylinder. Commun. Nonlinear Sci. Numer. Simulat.2012; 17:p.1098-1103.
- Raju CSK. Sanjeevi P. Raju MC, Ibrahim SM. Lorenzini G. Lorenzini E. The flow of magnetohydrodynamic Maxwell nanofluid over a cylinder with Cattaneo-Christov heat flux model, Continuum Mech. Thermodyn. DOI 10.1007/s00161-017-0580-z.
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- Naseer M. Yousaf Malik M. Nadeem S. Rehman A. The boundary layer flow of hyperbolic tangent fluid over a vertical exponentially stretching cylinder. Alexandria Engineering Journal. 2014; 53:p. 747-750.