Analysis of a boundary layer flow over moving an exponentially stretching surface with variable viscosity and Prandtl number. Issue 7 (22nd July 2019)

• Record Type: Journal Article
• Authors: Govindaraj, Nagarathinam; Singh, Abhishek K.; Roy, Satyajit; Shukla, Pankaj
• Is Part Of: Heat transfer - Asian research. Volume 48:Issue 7(2019)
• Page Start: 2736
• Page End: 2751
• Publication Date: 2019-07-22
• Subjects: exponential stretching sheet -- mixed convection -- quasilinearization technique -- variable Prandtl number; Heat -- Transmission -- Periodicals; Electronic journals; 621.4022
• DOI: 10.1002/htj.21508
• Languages: English
• ISSNs: 1099-2871

Abstract

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 ( C fx ( Re L ξ exp( ξ ) ) 1 / 2 ) and the local Nusselt number ( Nu x ( Re L ξ exp( ξ ) )− 1 / 2 ) has been analyzed graphically based on numerical outcome. The magnitude of velocity profiles ( F ) 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 ε as 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.