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Abstract
The aim of present paper is to study the series solution of time dependent MHD second grade incompressible nanofluid towards a stretching sheet. The effects of mixed convection and thermal radiation are also taken into account. Because of nanofluid model, effects Brownian motion and thermophoresis are encountered. The resulting nonlinear momentum, heat and concentration equations are simplified using appropriate transformations. Series solutions have been obtained for velocity, temperature and nanoparticle fraction profiles using Homotopy Analysis Method (HAM). Convergence of the acquired solution is discussed critically. Behavior of velocity, temperature and concentration profiles on the prominent parameters is depicted and argued graphically. It is observed that temperature and concentration profiles show similar behavior for thermophoresis parameter Νt but opposite tendency is noted in case of Brownian motion parameter Νb. It is further analyzed that suction parameter S and Hartman number Μ depict decreasing behavior on velocity profile.
Highlights
Many engineering and industrial applications involve a working fluid that may be active or inactive in its own capacity
With thermal conductivity more than base fluid and a size of 1–100 nm, nanoparticles are utilized to attain the maximum enhancement in the thermal characteristics under minimum concentrations
The pioneering work of Choi [1] with the declaration that thermal conductivity of base fluid will be doubled by adding the nanoparticles into the base fluid revolutionized the related engineering applications in a variety of directions
Summary
Many engineering and industrial applications involve a working fluid that may be active or inactive in its own capacity. The pioneering work of Choi [1] with the declaration that thermal conductivity of base fluid will be doubled by adding the nanoparticles into the base fluid revolutionized the related engineering applications in a variety of directions These include coolants of nuclear reactors, cancer therapy, safer surgeries and in safety problems related to nuclear. Fetecau et al [13] studied the unsteady flow of second grade fluid induced due to the time-dependent motion of wall. Hayat et al [15] reported two dimensional boundary layer flow of second grade fluid with convective boundary condition via homotopy analysis method. Very less approaches have been reported in the presence of nanofluids To bridge this gap, we have studied the thermal radiation effects in MHD unsteady flow of second grade nanofluid in the presence of mixed convection. Similarity transformation for the present case is given below rffiffiffiffiffiffi
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