Numerical analysis of unsteady flow of three-dimensional Williamson fluid-particle suspension with MHD and nonlinear thermal radiations

2020 ◽  
Vol 135 (10) ◽  
Author(s):  
Madiha Bibi ◽  
A. Zeeshan ◽  
M. Y. Malik
2019 ◽  
Vol 8 (1) ◽  
pp. 734-743 ◽  
Author(s):  
H.B. Mallikarjuna ◽  
M.C. Jayaprakash ◽  
Raghavendra Mishra

Abstract This article presents the effect of nonlinear thermal radiation on three dimensional flow and heat transfer of fluid particle suspension over a stretching sheet. The combined effects of non-uniform source/sink and convective boundary condition are taken into consideration. The governing partial differential equations are transformed into ordinary differential equations using similarity variables, which are then solved numerically by using Runge Kutta Fehlberg-45 method with shooting technique. The influence of various parameters on velocity and temperature profiles are illustrated graphically, and discussed in detail. The results indicate that the fluid phase velocity is greater than that of the particle phase for various existing parameters.


2020 ◽  
Vol 96 (1) ◽  
pp. 015214
Author(s):  
M Radhika ◽  
G Sowmya ◽  
Siddabasappa ◽  
B C Prasannakumara ◽  
Manawwer Alam ◽  
...  

2017 ◽  
Vol 1 (2) ◽  
Author(s):  
B. C. Prasannakumara ◽  
B. J. Gireesha ◽  
M. R. Krishnamurthy ◽  
Rama Subba Reddy Gorla

AbstractWe analyzed the effects of Biot number and non-uniform heat source/sink on boundary layer flow and nonlinear radiative heat transfer of fluid particle suspension over an unsteady stretching surface embedded in a porous medium with nanoparticles. We considered conducting dust particles embedded with -water nanopartcles. The governing equations are transformed into nonlinear ordinary differential equations by using local similarity transformations and solved numerically using Runge–Kutta-Fehlberg-45 order method along with shooting technique. The effects of non-dimensional parameters on velocity and temperature profiles for fluid phase and dust phase are discussed and presented through graphs. Also, friction factor and Nusselt number are discussed and presented through graphs. Comparisons of the present study were made with existing studies under some special assumptions. The present results have an excellent agreement with existing studies. Results indicated that the enhancement in fluid particle interaction parameter increases the heat transfer rate and depreciates the wall friction. Also, radiation parameter has the tendency to increase the temperature profiles of the dusty nanofluid.


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