Analysis of a boundary layer flow over moving an exponentially stretching surface with variable viscosity and Prandtl number

Abstract

Boundary layer flow phenomenons on a stretching sheet find numerous applications in industrial processes such as manufacture and extraction of rubber and polymer sheets. The current study focuses on two‐dimensional water boundary layer flow on exponential stretching surface with a vertical plate for variable physical properties of fluid such as viscosity and Prandtl number. The Quasilinearization technique has been used on governing equations to transform nonlinear to linear equations and these equations are discretized by finite difference techniques to get numerical solutions. The effect of buoyancy parameters (λ), velocity ratio parameter (ε) and streamwise coordinator (ξ) on velocity profiles (F), temperature profiles (θ), local skin‐friction coefficient (Cfx(ReLξexp(ξ))1/2) and the local Nusselt number (Nux(ReLξexp(ξ))−1/2) has been analyzed graphically based on numerical outcome. The magnitude of velocity profiles true(Ftrue) increases and temperature profile decreases approximately by 4% and 16% with increases the buoyancy parameter from λ = 1 to λ = 3 at = 0.5 and ξ = 1.0. The skinfriction and heat transfer coefficient increases approximately by 22% and 27% with an increase in ξ from 0.5 to 1.0 at fixed ε = 0.5 and λ = 1.0. The variations of velocity profiles and temperature profiles have more impact with εas compared to ξ and λ. The benchmark studies were carried out to validate the current results with previously published work and found to be in excellent agreement.

MHD nanofluid flow with variable physical parameters via thermal radiation: A numerical study

“…The incorporation of the terms in momentum equations has been done using Boussinesq's approximation. Under these assumptions, the boundary layer equations with boundary constraints are as follows 1,2,5,12 :…”

“…The variation of viscosity and Prandtl number has been consider based on the real measured data (see Table 1). 38 A detailed understanding about the variable physical parameters with temperature is explained in earlier works, 1,2,4,5 and not included in this paper.…”

“…The numerical studies of magnetohydrodynamic (MHD) and water‐based nanoliquid mixed convection flow with thermal radiation 1‐5 play a vital role in many engineering and industries sectors, for example, crystal growing, manufacturing of plastic and rubber sheets, glass production processing, metallurgical processes, and lubrication technologies 6‐8 . Radiative heat transfer that occurs without heating the intervening medium has been found to be important in various applications, such as design of reliable equipments, various devices for aircraft, space technology, and process involving high temperature.…”

A numerical approach of forced convection of Casson nanofluid flow over a vertical plate with varying viscosity and thermal conductivity

“…investigated the analytical solutions of MHD Non‐Newtonian Casson fluid flow in a porous channel having periodic body acceleration. Govindaraj et al 7 . rigorously worked on mixed convection boundary layer flow with varying properties of viscosity and Prandtl number on an exponentially stretching sheet.…”

Fluid Flow and Heat Transfer Over a Stretching Sheet With Temperature Dependent Prandtl Number and Viscosity

“…Mabood and Shateyi (2019) analyzed the unsteady fluid flow with thermal and MHD effects. Govindaraj et al, (2019) discussed the heat transfer and skin friction coefficient fluid flow over an exponentially stretching sheet. Umavathi et al, (2016) examined convection flow moving over a vertical channel with viscous dissipation.…”