A Study of Velocity and Temperature Slip Effects on Flow of Water Based Nanofluids in Converging and Diverging Channels

Abstract

Copper (Cu) and silver (Ag) nanoparticle are added to water as a base fluid to study the effects of velocity and temperature slip on the flow between converging and diverging channels. A similarity transform has been employed to reduce the nonlinear partial differential equations to a system of nonlinear ordinary differential equations which is then solved by using two analytical schemes variational iteration and variation of parameters methods. For the sake of comparison, a numerical solution using fourth order Runge-Kutta method (RK-4) is also presented. Effects of velocity slip, temperature jump and the other parameters on the flow are discussed and demonstrated graphically. Comparison with already existing results in literature shows the efficiency of the method used.

Convective heat transfer and thermo-diffusion effects on flow of nanofluid towards a permeable stretching sheet saturated by a porous medium

“…Sheet is being x-axis is assumed to be along the stretching sheet and y-axis is assumed to be normal to it. Under aforementioned assumptions, the equations representing conservation of mass, momentum, energy, solute and nanoparticles can be written as [21]:…”

“…They also extended these studies to the case of nanofluids. One can easily find enough literature on convective nano fluid flows, however some of the studies are reported in [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] and references therein. Those also include some studies on nanofluid flow over a permeable stretching sheet saturated by porous medium.…”

“…Mass fluxes can be created by the temperature gradients that results in Soret Dufour effects cannot be neglected. Awad et al [21] used the same idea to study the thermo-diffusion effect on the flow of nanofluid over a stretching sheet that has later been extended for power law stretching sheet by Goyal et al in a recent study [25]. Khan et al [26] also used the same concept and studied the thermo-diffusion effects on stagnation point flow towards a stretching sheet.…”

Entropy generation on MHD peristaltic flow of Cu‐water nanofluid with slip conditions

“…Abbasi et al addresses the influence of slip condition on hydromagnetic‐driven peristaltic motion. The impact of wall and slip characteristics on MHD peristaltic motion of nanofluid was considered by Hayat et al Several latest investigations in this regime can be pursued through Refs …”

Effects of Velocity Slip on MHD Flow of a Non-Newtonian Fluid in Converging and Diverging Channels

“…The applications of slip effect include, reduction of friction, energy conversation and mimicking biological water channels [15]. Many authors have shown significant interest to study the slip effects in different geometries for different fluids [16][17][18][19][20].…”