Heat transfer in viscoplastic boundary layer flow from a vertical permeable cone with momentum and thermal wall slip : numerical study

Rao, AS; Prasad, VR; Radhika, VN; Beg, OA

Abstract

A mathematical model is presented for the laminar free convection boundary layer flow of Casson viscoplastic non-Newtonian fluid external to a vertical penetrable circular cone in the presence of thermal and hydrodynamic slip conditions. The cone surface is maintained at non-uniform surface temperature. The boundary layer conservation equations, which are parabolic in nature, are transformed into non-dimensional form via appropriate similarity variables, and the emerging boundary value problem is solved computationally with the second order accurate implicit Keller-box finite-difference scheme. The influence of velocity (momentum) slip, thermal slip and Casson non-Newtonian parameter on velocity, temperature, skin friction and Nusselt number are illustrated graphically. Validation of solutions with earlier published work is included. The computations show that the flow near the cone surface is strongly decelerated with increasing momentum slip whereas the temperature and thermal boundary layer thickness are increased. Increasing Casson parameter generally decelerates the flow and also decreases temperatures. Both velocity and thermal boundary layer thickness are reduced with greater Prandtl number. The study is relevant to petro-chemical engineering (polymer) processing systems.

Citation

Rao, A., Prasad, V., Radhika, V., & Beg, O. (2018). Heat transfer in viscoplastic boundary layer flow from a vertical permeable cone with momentum and thermal wall slip : numerical study. Heat Transfer Research, 49(3), 189-204. https://doi.org/10.1615/HeatTransRes.2017018153

• Journal Article Type: Article
• Acceptance Date: Oct 26, 2016
• Online Publication Date: Mar 29, 2018
• Publication Date: Mar 29, 2018
• Deposit Date: Oct 31, 2016
• Publicly Available Date: Mar 29, 2019
• Journal: Heat Transfer Research
• Print ISSN: 1064-2285
• Electronic ISSN: 2162-6561
• Publisher: Begell House
• Volume: 49
• Issue: 3
• Pages: 189-204
• DOI: https://doi.org/10.1615/HeatTransRes.2017018153
• Publisher URL: http://dx.doi.org/10.1615/HeatTransRes.2017018153
• Related Public URLs: http://www.begellhouse.com/journals/46784ef93dddff27
• Additional Information: Funders : University Grants Commission-SERO - INDIA; Projects : VISCOPLASTIC HEAT TRANSFER SIMULATION; Grant Number: Ref. No. MRP 4613/14