General Solution for Unsteady Natural Convection Flow with Heat and Mass in the Presence of Wall Slip and Ramped Wall Temperature. (June 2019)

• Record Type: Journal Article
• Authors: Jan, Saeed Ullah; Haq, Sami Ul; Shah, Syed Inayat Ali; Khan, Ilyas; Khan, Muhammad Atif
• Is Part Of: Communications in theoretical physics. Volume 71:Number 6(2019:Jun.)
• Publication Date: 2019-06
• Subjects: slip boundary condition -- heat and mass transfer -- skin-friction; Physics -- Periodicals; 530.105
• DOI: 10.1088/0253-6102/71/6/647
• Languages: English
• ISSNs: 0253-6102

Abstract

Abstract: This work is focused on the effect of heat and mass transfer with unsteady natural convection flow of viscous fluid along with ramped wall temperature under the assumption of the slip wall condition at the boundary. Analytical solutions are obtained by using Laplace transformation to the non-dimensional set of governing equations containing velocity, temperature and concentration. Moreover, the expression for skin-friction is derived by differentiating the analytical solutions of fluid velocity. Numerical tables for Skin-friction, Sherwood number and Nusselt-number are examined. For the physical aspects of the flow, we use various values of involved physical parameters such as Prandtl number (Pr), slip parameter ( η ), Schmidt number (Sc), buoyancy ratio parameter ( N ), Sherwood number (Sh), and time ( t ). Additionally, the general solutions are plotted graphically and a comprehensive theoretical section of numerical discussions is included.