Melting heat transfer in the MHD flow of Cu–water nanofluid with viscous dissipation and Joule heating

2016 ◽  
Vol 27 (4) ◽  
pp. 1301-1308 ◽  
Author(s):  
Tasawar Hayat ◽  
Maria Imtiaz ◽  
Ahmed Alsaedi
2018 ◽  
Vol 23 (2) ◽  
pp. 429-433 ◽  
Author(s):  
K.G. Kumar ◽  
B.J. Gireesha ◽  
S. Manjunatha

Abstract The present paper deals with an analysis of the combined effect of Joule heating and viscous dissipation on an MHD boundary layer flow and melting heat transfer of a micro polar fluid over a stretching surface. Governing equations of the problem are transformed into a set of coupled nonlinear ordinary differential equations by applying proper transformations and then they are solved numerically using the RKF-45 method. The method is verified by a comparison with the established results with limiting solution. The influence of the various interesting parameters on the flow and heat transfer is analyzed in detail through plotted graphs.


2012 ◽  
Vol 79 (2) ◽  
Author(s):  
M. Mustafa ◽  
T. Hayat ◽  
Awatif A. Hendi

This communication studies the effect of melting heat transfer on the stagnation-point flow of a Jeffrey fluid over a stretching sheet. Heat transfer analysis is carried out in the presence of viscous dissipation. The arising differential system has been solved by the homotopy analysis method (HAM). The results indicate an increase in the velocity and the boundary layer thickness with an increase in the values of the elastic parameter (Deborah number) for a Jeffrey fluid which are opposite to those accounted for in the literature for the other subclasses of rate type fluids. Furthermore, an increase in the melting process corresponds to an increase in the velocity and a decrease in the temperature. A comparative study between the current computations and the previous studies is also presented in a limiting sense.


2017 ◽  
Vol 6 (2) ◽  
pp. 254-263 ◽  
Author(s):  
Umar Khan ◽  
. Adnan ◽  
Mir Asadullah ◽  
Naveed Ahmed ◽  
Syed Tauseef Mohyud-Din

Author(s):  
Tasawar Hayat ◽  
Ikram Ullah ◽  
Ahmed Alsaedi ◽  
Saleem Asghar

This research concentrates on melting heat transfer in magnetohydrodynamics (MHD) flow of Sisko fluid bounded by a sheet with nonlinear stretching velocity. Modeling and analysis have been carried out in the presence of heat generation/absorption and magnetic field. Transformation procedure is implemented in obtaining nonlinear differential system. Convergence series solutions are developed. The solution for different influential parameters is analyzed. Skin friction coefficient and heat transfer rate are analyzed. It is observed that the qualitative results of magnetic field and melting heat transfer on velocity are similar.


2015 ◽  
Vol 08 (06) ◽  
pp. 1550073 ◽  
Author(s):  
T. Hayat ◽  
Maimona Rafiq ◽  
B. Ahmad ◽  
H. Yasmin

Mathematical model is developed for peristaltic flow of viscous fluid through a compliant wall channel subject to melting heat transfer. Fluid is incompressible and magnetohydrodynamic. Analysis has been performed in the presence of Joule heating and thermal radiation. Solutions for small wave number are obtained. Physical quantities of interest are examined for various parameters of interest.


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