Analysis of Unsteady Flow and Heat Transfer of Nanofluid Using Blasius–Rayleigh–Stokes Variable

Abstract

This article investigates the unsteady flow and heat transfer analyses of a viscous-based nanofluid over a moving surface emerging from a moving slot. This new form of boundary layer flow resembles with the boundary layer flow over a stretching/shrinking surface depending on the motion of the moving slot. The governing partial differential equations are transformed to correct similar form using the Blasius–Rayleigh–Stokes variable. The transformed equations are solved numerically. Existence of dual solutions is observed for a certain range of moving slot parameter. The range of dual solution is strongly influenced by Brownian and thermophoretic diffusion of nanoparticles.

Blasius–Rayleigh–Stokes flow of nanofluid past an isothermal magnetized surface

“…Numerical domain a L \a\a U is specified for skin friction. Non-linear shooting technique is used to obtain the numerical solution of the boundary value problem (17)(18)(19)(20)(21)(22), since for generalized value of a exact analytical solutions is difficult to find. The crux of is to reduce the boundary value problem to an initial value problem and then use a shooting numerical technique to guess the missing initial conditions until the boundary conditions are satisfied.…”

“…Heat transfer analysis was conducted by Fang et al 17 for this boundary layer flow. Lu et al 18 conducted a detailed analysis of heat transfer of unsteady flow of viscous-based nanofluids past a plate evolving from a movable slot using Blasius-Rayleigh-Stoke variable. For recent work, related to Blasius-Rayleigh-Stoke variable see the articles [19][20][21][22] and references given therein.…”

Recent Trends in Coatings and Thin Film: Modeling and Application

“…Lu et al proposed the unsteady flow and heat transfer analyses of a viscous-based nanofluid over a moving surface emerging from a moving slot [8]. A new form of boundary layer flow resembles with the boundary layer flow over a stretching/shrinking surface depending on the motion of the moving slot.…”

Unsteady flow of micropolar fluid on a magnetized sheet: Effects of magnetic and microrotation parameters on wall couple stress and skin friction

“…Fang et al [36] used the BRS variable to analyze heat transfer inside the boundary layer. This variable has been used to investigate the unsteady flow and heat transfer analysis past a moving surface emerging from a moving slot [37]. Ahmad and Razi [38], Reddy et al [39], and Ishaq et al [40] have also studied the BRS variable in their recent works.…”