Radiation Effect on MHD Williamson Fluid Flow over Stretching Cylinder Through Porous Medium with Heat Source
In this present paper, we have investigated radiation effects on MHD Williamson fluid flow past a stretching cylinder through porous medium. MHD with Hall and ion-slip currents impact is taken into consideration. The governing PDEs are transformed into BV
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Abstract In this present paper, we have investigated radiation effects on MHD Williamson fluid flow past a stretching cylinder through porous medium. MHD with Hall and ion-slip currents impact is taken into consideration. The governing PDEs are transformed into BVPs by using appropriate transformations. Shooting technique with Runge–Kutta forth-order method is used to find the solution of the problem. The effect of various parameters such as curvature parameter c, heat generation parameter b, Hall current parameter be , ion-slip parameter bi magnetic parameter M, thermal conductivity e, Weissenberg number k, Eckert number Ec, radiation parameter K and Prandtl number Pr on momentum and thermal energy profiles are discussed and displayed graphically. Local Nusselt number and skin friction coefficient are tabulated.
1 Introduction Several non-Newtonian models such as power law fluid model, Casson fluid model, Jeffery fluid model and Williamson fluid model have been predicted for the description of rheological behavior of fluid. Williamson fluid is a non-Newtonian fluid and holds viscoelastic property. In Williamson fluid model, maximum viscosity ðl1 Þ as well as minimum viscosity ðl0 Þ both are taken into consideration. This model fits the experimental information of polymer solution and particle suspensions better than other Newtonian and non-Newtonian fluids models. Williamson fluid model has been studied by several researchers under various flow patterns. Malik et al. (2016a, b) studied Williamson fluid and thermal energy transfer past a stretching cylinder assuming that thermal S. Jain A. Parmar (&) Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur 303007, Rajasthan, India e-mail: [email protected] S. Jain e-mail: [email protected] © Springer Nature Singapore Pte Ltd. 2018 M.K. Singh et al. (eds.), Applications of Fluid Dynamics, Lecture Notes in Mechanical Engineering, https://doi.org/10.1007/978-981-10-5329-0_5
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conductivity varies linearly with temperature. Krishnamurthy et al. (2016) examined chemical reaction and radiative effects on the steady MHD Williamson fluid flow. Williamson fluid flow past a nonlinearly stretching sheet with thermal radiative effect has been investigated by Monica et al. (2016). Narayana et al. (2015) investigated the influence of viscous dissipation on thermal energy transfer of Magneto-Williamson nanofluid. Khan et al. (2014) studied Williamson fluid flow with chemically reactive species using scaling conversion and homotopy analysis method. Nadeem and Hussain (2014) analyzed Williamson fluid flow and thermal energy analysis over exponentially stretching surface, (PEST) and (PEHF) case. The MHD boundary layer flow and thermal energy transfer over a stretching cylinder have many applications in manufacturing processes, plasma studies, petroleum industries, MHD power generator, boundary layer control in aerodynamics, chilling of nuclear reactors, crystal fiber production and paper production. Chauhan et al. (201
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