Dual solutions for unsteady flow of Powell-Eyring fluid past an inclined stretching sheet

Authors

  • P. M. Krishna Sri Venkateswara University
  • N. Sandeep VIT University
  • J. V. R. Reddy S.V.University
  • V. Sugunamma Sri Venkateswara University

DOI:

https://doi.org/10.3329/jname.v13i1.25338

Keywords:

Powell-Eyring fluid, Non-uniform heat source/sink, Radiation, Chemical reaction, Suction/injection.

Abstract

This paper deals with the heat and mass transfer in unsteady flow of Powell-Eyring fluid past an inclined stretching sheet in the presence of radiation, non-uniform heat source/sink and chemical reaction with suction/injection effects. The governing equations are reduced into system of ordinary differential equations using similarity transformation and solved numerically using Runge-Kutta based shooting technique. Results display the influence of governing parameters on the flow, heat and mass transfer, friction factor, local Nusselt and Sherwood numbers. Comparisons are made with the existed studies. Present results have an excellent agreement with the existed studies. Results indicate that an increase in the chemical reaction parameter depreciates the friction factor, heat transfer rate and enhances the mass transfer rate. Dual solutions exist only for certain range of suction/injection parameters.

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Author Biographies

P. M. Krishna, Sri Venkateswara University

Research scholar

Department of mathematics 

N. Sandeep, VIT University

Assistant Professor

Department of Mathematics

J. V. R. Reddy, S.V.University

Research Scholar

Department of Mathematics

V. Sugunamma, Sri Venkateswara University

Professor

Department of Mathematics

References

Anderson, H. I. and B. S. Dandapat (1991). Flow of a power-law fluid over a stretching sheet. Stab. Appl. Anal. Cont. Media (SAACM), Italy 1, 339-347.

Crane, L. J. (1970). Flow past a stretching plate. Z. Angew. Math. Phys. 21, 645647.

Eldabe, N. T. M., A. A. Hassan and M. A. A. Mohamed (2003). Effects of Couple Stresses on the MHD of a Non-Newtonian Unsteady Flow between Two Parallel Porous Plates. Zeitschrift für Naturforschung, 58 (2), 204-210.

Hayat, T., S. Asad, M. Mustafa and A. Alsaedi (2015). Radiation effects on the flow of Powell- Eyring fluid past an unsteady inclined stretching sheet with non-uniform heat source/sink. Plos one 9(7): e103214.doi:10.1371/journal.pone.0103214.

Hayat, T., S. Irfan Shah, B. Ahmad and M. Mustafa (2014). Effect of slip on peristaltic flow of Powell-Eyring fluid in a symmetric channel. App. Bion. Biomech. 11, 69-79.

Hossain, M. A. and H. S. Takhar (1996). Radiation effect on mixed convection along a vertical plate with uniform surface temperature. Heat and Mass Trans. 31, 243- 248.

Hosseini, M. and S. Ghader (2010). Amodel for temperature and particle volume fraction effect on nano fluid viscosity. J. Mole. Liqu. 153, 139-145.

Ibrahim, F.S., A. M. Elaiw, A. A. Bakr (2008). Effect of the chemical reaction and radiation absorption on the unsteady MHD free convection flow past a semi-infinite vertical permeable moving plate with heat source and suction. Comm. Non-linear Sci. Nume. Simu. 13, 1056-1066.

Javed, T., N. Ali, Z. Abbas and M. Sajid (2013). Flow of an Eyring-Powell non-Newtonian fluid over a stretching sheet. Chem. Engg. Comm. 32, 327-336.

Kameswaran, P. K., S. Shaw, P. Sibanda and P. V. S. N. Murthy (2013). Homogeneous heterogeneous reactions in a nanofluid flow due to a porous stretching sheet. Int. J. Heat and Mass Trans. 57, 465472.

Layek, G C, S. Mukhopadhyay and S. A. Samad (2007). Heat and mass transfer analysis for boundary layer stagnation-point flow towards a heated porous stretching sheet with heat absorption/generation and suction/blowing. Int. Comm. Heat Mass Trans. 34, 347-356.

Makinde, O. D. and A. Aziz (2011). Boundary layer flow of a nano fluid past a stretching sheet with convective boundary condition. Int. J. Therm. Sci. 50, 13261332.

Massoudi, M. and I. Christie (1995). Effect of variable viscosity and viscous dissipation on the flow of a third grade fluid in a pipe. Int. J. Non-Linear Mech. 30, 687 699.

Mohankrishna, P., N. Sandeep and V. Sugunamma (2015). Effects of radiation and chemical reaction on MHD convective flow over a permeable stretching surface with suction and heat generation. Walailak J. Sci. and Tech. 12(9), 831-847.

Mukhopadhyay, S., P. Ranjan De, K. Bhattacharyya and G. C. Layek (2013). Casson fluid flow over an unsteady stretching surface. Int. J. Engg. Phy and Math. 4, 933-938.

Muthucumaraswamy, R. and P. Ganesan (2001). First-order chemical reaction on flow past on impulsively started vertical plate with uniform heat and flux. Acta. Mech. 147, 45-47.

Nadeem, S. and M. Ali (2009). Analytical solutions for pipe flow of a fourth grade fluid with Reynold and Vogels models of viscosities. Commun. Nonlinear Sci. Numer. Simul. 14, 20702090.

Nadeem, S., Rizwan Ul Haq, N. S. Akbar and Z. H. Khan (2013). MHD three- dimensional Casson fluid flow past a porous linearly stretching sheet. Alex. Eng. J. 52, 577582.

Nadeem, S., T. Hayat, S. Abbasbandy and M. Ali (2010). Effects of partial slip on a fourth grade fluid with variable viscosity: An analytical solution. Nonlinear Anal.: RWA, 11, 856868.

Patel, M. and M. G. Timol (2011). Numerical Treatment of MHD Powell-Eyring Fluid Flow Using the Method of Satisfaction of Asymptotic Boundary Conditions. Int. J. Comp. Sci. 1, 71- 78.

Prasad, K. V., P. S. Datti and B. T. Raju (2013). Momentum and Heat Transfer of a Non- Newtonian Eyring-Powell Fluid over a Non-Isothermal Stretching Sheet. Int. J. Math. Arch. 4(1), 230-241.

Raju, C. S. K., N. Sandeep, C. Sulochana, V. Sugunamma and M. Jayachandra Babu (2015). Radiation, inclined magnetic field and cross-diffusion effects on flow over a stretching surface. J. Nige. Math. Soc. 19, 1-12.

Sandeep, N. and C. Sulochana (2015). Dual solutions of radiative MHD nano fluid over an exponentially stretching sheet with heat generation/absorption. App. Nano sci. 1-9.

Sandeep, N., V. Sugunamma and P. Mohan Krishna (2014). Aligned magnetic field radiation and rotation effects on unsteady hydro magnetic free convection flow past an impulsively moving vertical plate in a porous medium. Int. J. Engg. Math. 2014, doi:10.1155/2014/565162.

Tsai, R., K. H. Huang and J. S. Huang (2008). Flow and heat transfer over an unsteady stretching surface with non-uniform heat source. Int. Commun. Heat Mass Trans. 35 (10), 13401343.

Zueco, J. and O. A. Beg (2009). Network Numerical Simulation Applied to Pulsatile Non-Newtonian Flow through a Channel with Couple Stress and Wall Mass Flux Effects. Int. J. App. Math. Mech. 5, 1-16.

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Published

15.06.2016

How to Cite

Krishna, P. M., Sandeep, N., Reddy, J. V. R., & Sugunamma, V. (2016). Dual solutions for unsteady flow of Powell-Eyring fluid past an inclined stretching sheet. Journal of Naval Architecture and Marine Engineering, 13(1), 89–99. https://doi.org/10.3329/jname.v13i1.25338

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Articles