Thermal radiation and chemical reaction effects on boundary layer slip flow and melting heat transfer of nanofluid induced by a nonlinear stretching sheet

Abstract

A theoretically investigation has been performed to study the effects of thermal radiation and chemical reaction on MHD velocity slip boundary layer flow and melting heat transfer of nanofluid induced by a nonlinear stretching sheet. The Brownian motion and thermophoresis effects are incorporated in the present nanofluid model. A set of proper similarity variables is used to reduce the governing equations into a system of nonlinear ordinary differential equations. An efficient numerical method like Runge-Kutta-Fehlberg-45 order is used to solve the resultant equations for velocity, temperature and volume fraction of the nanoparticle. The effects of different flow parameters on flow fields are elucidated through graphs and tables. The present results have been compared with existing one for some limiting case and found excellent validation.

Effect of thermophoresis and Brownian motion on the melting heat transfer of a Jeffrey fluid near a stagnation point towards a stretching surface: Buongiorno's model

“…Mabood et al and Nawaz et al also noted the same trend. A reversal effect on temperature with regard to higher values of the radiation parameter Nr is noted, as illustrated in Figure , and it may be explained by the fact that the impact of thermal radiation causes a reduction in the energy transport rate to the ambient fluid resulting in lower temperatures, as observed by Mabood et al and Krishnamurthy et al…”

“…Consequently, less heat is transferred from the ambient fluid to the melting surface leading to higher temperature. Mabood et al 28 reversal effect on temperature with regard to higher values of the radiation parameter Nr is noted, as illustrated in Figure 13, and it may be explained by the fact that the impact of thermal radiation causes a reduction in the energy transport rate to the ambient fluid resulting in lower temperatures, as observed by Mabood et al 27 and Krishnamurthy et al 39 It is seen from Figure 14 that increasing values of the melting heat transfer parameter diminish the temperature as melting causes the heat transfer from the fluid to the surface and thus the fluid gets cooled. From Figure 15, it is found that the temperature enhances significantly with increasing values of Eckert number (Ec).…”

Nonlinear Radiative Heat Transfer to Carreau Fluid Over a Nonlinear Stretching Sheet in a Porous Medium in the Presence of Non-Uniform Heat Source/Sink and Viscous Dissipation

“…Yazdi et al (2014) reported the steady slip boundary layer flow and heat transfer of a non-Newtonian power-law fluid over continuously nonlinear moving permeable surface at prescribed surface temperature including the effects of viscous dissipation and internal heat generation/absorption. Krishnamurthy et al (2016) examined the thermal radiation and chemical reaction effect on MHD velocity slip boundary layer flow and melting heat transfer of nanofluid induced by a nonlinear stretching heet. Raju et al (2016) analyzed the flow, heat and mass transfer behavior of Casson fluid past an exponentially permeable stretching surface in presence of thermal radiation, magnetic field, viscous dissipation, heat source and chemical reaction.…”

Convective Heat Transfer Enhancement using Slot Jet Impingement on a Detached Rib Surface

“…Ramesh et al (2015Ramesh et al ( , 2016 numerically investigated heat transfer problems with stretching sheet for variable thickness and convective boundary layer in the latter study. Krishnamurthy et al (2016) investigated the effect of thermal radiation on melting heat transfer of nanofluid with nonlinear stretching sheet.…”