Applied Mathematics and Mechanics (English Edition) ›› 2019, Vol. 40 ›› Issue (4): 465-480.doi: https://doi.org/10.1007/s10483-019-2462-8

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Melting heat transfer in Cu-water and Ag-water nanofluids flow with homogeneous-heterogeneous reactions

M. IMTIAZ1, F. SHAHID2, T. HAYAT2,3, A. ALSAEDI3   

  1. 1. Department of Mathematics, University of Wah, Wah Cantt 47040, Pakistan;
    2. Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, Pakistan;
    3. Nonlinear Analysis and Applied Mathematics(NAAM) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia
  • Received:2018-07-31 Revised:2018-09-17 Online:2019-04-01 Published:2019-04-01
  • Contact: M. IMTIAZ E-mail:mi_qau@yahoo.com

Abstract:

This article addresses melting heat transfer in magnetohydrodynamics (MHD) nanofluid flows by a rotating disk. The analysis is performed in Cu-water and Ag-water nanofluids. Thermal radiation, viscous dissipation, and chemical reactions impacts are added in the nanofluid model. Appropriate transformations lead to the nondimensionalized boundary layer equations. Series solutions for the resulting equations are computed. The role of pertinent parameters on the velocity, temperature, and concentration is analyzed in the outputs. It is revealed that the larger melting parameter enhances the velocity profile while the temperature profile decreases. The surface drag force and heat transfer rate are computed under the influence of pertinent parameters. Furthermore, the homogeneous reaction parameter serves to decrease the surface concentration.

Key words: stratified fluids, singularity motion, analytical solution, stretchable rotating disk, homogeneous-heterogeneous reaction, melting heat transfer, magnetohydrodynamics (MHD), thermal radiation, nanofluid

2010 MSC Number: 

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