Effect of Non-Linear Radiation and Non-Uniform Heat Source/Sink on Flow over a Linear Stretching Sheet with Fluid Particle Suspension

Abstract

In this paper, the flow and heat transfer of dusty flow over a linear stretchable sheet has been analyzed. The effects of non-linear radiation and non-uniform heat source or sink have been studied. Considering the mentioned terms and conditions, the problem has been formulated. The formulation consists of systems of nonlinear PDEs which has been converted to a system of ODEs by taking suitable similarity transformations. Then the systems of ODEs have been solved by using Rungakutta method of 4th order. The computations work has been carried out by using BVP4C tool of MATLAB. The impact of flow parameters like radiation parameter, prandtl number, eckret number, fluid Particle interaction parameter β and diffusivity parameter on flow and heat transfer are investigated. The results are presented through graphs and tables. From the graphs, it is concluded that the presence of particles in fluid has some impact of different parameters in flow and heat transfer. The parameters like Eckert number, Fluid- particle interaction parameter, diffusivity parameter have remarkable effects of presence of particles

A review on multi objective optimization problems and advancement on its solutions

“…Magnetic field tends to accelerate fluid flow in both the primary and secondary flow directions. Similarly Das et al [6], Ray et.al [7], Kanungo et.al [8] and Mishra et.al [9,10] have studied the effects of different flow parameter on flow and heat transfer process of fluid flow.In their study they have kept all other parameter fixed except varying single parameter. So though those are multi objective problems but are treated as single objective to analyze the solutions.…”

Investigation of momentum and heat transfer characteristics of Maxwell fluid cascading over a stretching sheet: A HAM approach

“…Recently, Manvi et al [39] studied the effects of non-uniform heat source/sink and radiation on Eyring-Powell fluid flow over a stretching sheet with heating. Mishra and Samantara [40] demonstrated how these combined factors affect fluid flow and heat transmission across a linear stretching sheet with a suspension of fluid particles. Marinca et al [41] examined the MHD heat transfer of a second-grade viscoelastic fluid over a stretching porous sheet with non-uniform heat source/sink.…”

“…The convergence of the series solutions (44) depends on the selection of the auxiliary parameter f  and q .  Assuming f  and q  is chosen such that the series solutions (40)-( 41) are convergent at = q 0 and = q 1, then, by equation (44), the i th -order deformation equations can be obtained by differentiating equations (40) and (41) up to m times with respect to q dividing by m! and then setting = q 0.…”