Melting heat transfer analysis of electrically conducting nanofluid flow over an exponentially shrinking/stretching porous sheet with radiative heat flux under magnetic field

Venkatadri, K; Gaffar, SA; Rajarajeswari, P; Prasad, VR; Beg, OA; Khan, BMH

Abstract

Modern magnetic nanomaterials processing operations are progressing rapidly and require
increasingly sophisticated mathematical models for their optimization. Stimulated by such
developments, in this article, a theoretical and computational study of steady
magnetohydrodynamic (MHD) flow of nanofluid from an exponentially stretching/shrinking
permeable sheet with melting (phase change) and radiative heat transfer is presented. Wall
transpiration i.e. suction and blowing (injection) is included. Buongiorno’s nanofluid model is
deployed which simulates the effects of Brownian motion and thermophoresis. The transport
equations and boundary conditions are normalized via similarity transformations and appropriate
variables and similarity solutions are shown to depend on the transpiration parameter. The
emerging dimensionless nonlinear coupled ordinary differential boundary value problem is solved
numerically with the Newton-Fehlberg iteration technique. Validation with special cases from the
literature is included. Increasing magnetic field i.e. Hartmann number is observed to elevate
nanoparticle concentration and temperature whereas it damps the velocity. Higher values of
melting parameter consistently decelerate the boundary layer flow and suppress temperature and
nanoparticle concentration. Higher radiative parameter strongly increases temperature (and
thermal boundary layer thickness) and weakly accelerates the flow. Increasing Brownian motion
reduces nanoparticle concentrations whereas greater thermophoretic body force strongly enhances
them. Nusselt number and Sherwood number are decreased with increasing Hartmann number
whereas they are elevated with stronger wall suction and melting parameter.

Citation

Venkatadri, K., Gaffar, S., Rajarajeswari, P., Prasad, V., Beg, O., & Khan, B. (2020). Melting heat transfer analysis of electrically conducting nanofluid flow over an exponentially shrinking/stretching porous sheet with radiative heat flux under magnetic field. Heat Transfer, 49(8), 4281-4303. https://doi.org/10.1002/htj.21827

• Journal Article Type: Article
• Acceptance Date: Jun 7, 2020
• Online Publication Date: Jun 25, 2020
• Publication Date: Jun 25, 2020
• Deposit Date: Jun 19, 2020
• Publicly Available Date: Jun 25, 2021
• Journal: Heat Transfer
• Print ISSN: 2688-4534
• Publisher: Wiley
• Volume: 49
• Issue: 8
• Pages: 4281-4303
• DOI: https://doi.org/10.1002/htj.21827
• Publisher URL: https://doi.org/10.1002/htj.21827
• Related Public URLs: https://onlinelibrary.wiley.com/journal/26884542
• Additional Information: Access Information : This is the peer reviewed version of the following article: Venkatadri, K, Abdul Gaffar, S, Rajarajeswari, P, Prasad, VR, Anwar Bég, O, Hidayathulla Khan, BM. Melting heat transfer analysis of electrically conducting nanofluid flow over an exponentially shrinking/stretching porous sheet with radiative heat flux under a magnetic field. Heat Transfer. 2020; 1– 23. , which has been published in final form at https://doi.org/10.1002/htj.21827. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions.