Effects of Viscous Dissipation and Non-Uniform Heat Source/Sink on Casson Fluid Flow Over an Unsteady Inclined Permeable Stretching Surface

K. Venkateswara Raju¹ , S.R.R. Reddy² , P. Bala Anki Reddy³

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.130-136, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.130136

Online published on Dec 31, 2018

Copyright © K. Venkateswara Raju, S.R.R. Reddy, P. Bala Anki Reddy . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
An analysis has been carried out to study the effects of viscous dissipation, non-uniform heat source and sink on casson fluid flow for an unsteady inclined permeable stretching surface. Implementing similarity transformations, the governing equations are transformed to nonlinear ODEs and numerical computations are performed to solve those equations. The influence of various physical parameters on velocity, temperature and concentration distributions is illustrated graphically and the physical aspects are discussed in detail. Results indicate that temperature dependent heat source/sink plays a vital role on controlling the heat transfer however the surface-dependent heat source/sink also has notable influence on the heat transfer characteristics. Comparisons with previously published work are performed and the results are found to be in excellent agreement.

Key-Words / Index Term :
Stretching surface; Inclination; Casson fluid flow; Non-uniform heat source/sink; Viscous Dissipation.

References :
[1] N. Casson, “A flow equation for pigment-oil suspensions of the printing ink type Rheology of Disperse systems, Pergamon Press”, London, UK, 1959.
[2] Sidra Aman, Ilyas Khan, Zulkhibri Ismail, Mohd Zuki Salleh, Ali Saleh Alshomrani, Metib Said Alghamdi, “Magnetic field effect on Poiseuille flow and heat transfer of carbon nanotubes along a vertical channel filled with Casson fluid”, AIP Advances Vol.7, 015036-1-18, 2017.
[3] A.K. Abdul Hakeem, P. Renuka, N. Vishnu Ganesh, R. Kalaivanan, B. Ganga, “Influence of inclined Lorentz forces on boundary layer flow of Casson fluid over an impermeable stretching sheet with heat transfer”, Journal of Magnetism and Magnetic Materials,Vol. 401 pp.354-361, 2016.
[4] P. Bala Anki Reddy, “Magnetohydrodynamic flow of a Casson fluid over an exponentially inclined permeable stretching surface with thermal radiation and chemical reaction”, Ain Shams Engineering Journal,Vol. 7, pp.593-602, 2016.
[5] A.K Abdul Hakeem, P. Renuka, N. Vishnu Ganesh, R. Kalaivanan, B. Ganga, “Influence of inclined Lorentz forces on boundary layer flow of Casson fluid over an impermeable stretching sheet with heat transfer”, Journal of Magnetism and Magnetic Materials,Vol. 401 pp.354-361,2016.
[6] Majeed A. Yousif, Bewar A. Mahmood, M. M. Rashidi, “Using differential transform method and Pade approximation for solving MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet”, Journal of Mathematics and Computer Science,Vol. 17, pp. 169–178,2017.
[7] Khalil Ur Rehman, M.Y. Malik, Mostafa Zahri, M. Tahir, “Numerical analysis of MHD Casson Navier’s slip nanofluid flow yield by rigid rotating disk”, Results in Physics, Vol.8, pp.744–751,2018.
[8] S.M. Ibrahim, G. Lorenzini, P. Vijaya Kumar, C.S.K. Raju, “Influence of chemical reaction and heat source on dissipative MHD mixed convection flow of a Casson nanofluid over a nonlinear permeable stretching sheet”, International Journal of Heat and Mass Transfer,Vol.111, pp.346–355,2017.
[9] P. Bala Anki Reddy, “MHD boundary layer slip flow of a Casson fluid over an exponentially stretching surface in the presence of thermal radiation and chemical reaction”, Journal of Naval Architecture and Marine Engineering,Vol. 13, pp.165-177,2016.
[10] Ibukun Sarah Oyelakin, Sabyasachi Mondal, Precious Sibanda, “Unsteady Casson nanofluid flow over a stretching sheet with thermal radiation, convective and slip boundary conditions”, Alexandria Engineering Journal,Vol. 55,pp. 1025–1035,2016.
[11] Dulal Pal, “Hall current and MHD effects on heat transfer over an unsteady stretching permeable surface with thermal radiation”, Computers and Mathematics with Applications Vol.66, pp. 1161–1180,2013.
[12] S. Srinivas, P.B.A. Reddy, B.S.R.V. Prasad, “Effects of chemical reaction and thermal radiation on MHD flow over an inclined permeable stretching surface with non-uniform heat source/sink: An application to the dynamics of blood flow”, Journal of Mechanics in Medicine and Biology, Vol.14,Issue.5, 2014,pp. 1450067-1-24,2014.
[13] P.B.A. Reddy, N.B. Reddy, G. Palani, “Convective flow past a vertical plate under the influence of magnetic field and thermal Radiation subjected to a variable surface temperature in the presence of heat source/sink”, Thermophysics and Aeromechanics (Springer) Vol.19, Issue.3, pp. 489-501, 2012.
[14] G.S. Seth, A.K. Singha, M.S. Mandal, Astick Banerjee, Krishnendu Bhattacharyya, “MHD stagnation-point flow and heat transfer past a non-isothermal shrinking/stretching sheet in porous medium with heat sink or source effect”, International Journal of Mechanical Sciences,Vol. 134,pp. 98-111,2017.
[15] I. Tlili, W.A. Khan, K. Ramadan, “Entropy Generation due to MHD stagnation point flow of a nanofluid on a stretching surface in the presence of radiation”, Journal of Nanofluids,Vol. 7,Issue.5,pp. 879-890,2018.
[16] S.R.R. Reddy, P. Bala Anki Reddy, S. Suneetha, “Magnetohydrodynamic flow of blood in a permeable inclined stretching surface with viscous dissipation, non-uniform heat source/sink and chemical reaction”, Frontiers in Heat and Mass Transfer, Vol.10,Issue.22,pp. 1-10, 2018.
[17] Constantin Fetecau, Shahraz Akhtar, Ioan Pop, Corina Fetecau, “Unsteady general solution for MHD natural convection flow with radiative effects, heat source and shear stress on the boundary”, International Journal of Numerical Methods for Heat & Fluid Flow, Vol.27,Issue.6,pp. 1-19,2017.
[18] K. Venkateswara Raju, P. Bala Anki Reddy, S. Suneetha, “Thermophoresis effect on a radiating inclined permeable moving plate in the presence of chemical reaction and heat absorption”, International Journal of Dynamics of Fluids,Vol. 13,Issue.1,pp. 89-112,2017.
[19] Dulal Pal, Gopinath Mandal, “Thermal radiation and MHD effects on boundary layer flow of micropolar nanofluid past a stretching sheet with non-uniform heat source/sink”, International Journal of Mechanical Sciences, Vol.126,pp. 308-318,2017.
[20] P. Bala Anki Reddy, N. Bhaskar Reddy, S. Suneetha, “Radiation effects on MHD flow past an exponentially accelerated Isothermal Vertical plate with uniform Mass diffusion in the presence of Heat Source”, Journal of Applied Fluid Mechanics, Vol. 5,Issue.3, pp 119-126, 2012.
[21] K.Anand, Y.H.Gangadharaiah, “Influence of Vertical magnetic field on the onset of Rayleigh-Benard –Marangoni convection in the superposed fluid and porous layers with deformable free surface”, International journal of scientific Research in Mathematical and Statistical sciences, Vol.5, Issue.5,pp. 1-18,2018.
[22] Y.H.Gangadharaiah, K.Anand, , “Effects of temperature dependent viscosity on penetrative convection in a fluid layer bounded by slabs of finite thermal conductivity and finite thickness”, International journal of scientific Research in Mathematical and Statistical sciences, Vol.5, Issue.5,pp. 41-50,2018.