Natural convection flow of second-grade fluid along a vertical heated surface with variable heat flux

2010 ◽  
Vol 53 (25-26) ◽  
pp. 5856-5862 ◽  
Author(s):  
Naeem Mustafa ◽  
S. Asghar ◽  
M.A. Hossain
2019 ◽  
Vol 23 (1) ◽  
pp. 179-190 ◽  
Author(s):  
Irfan Mustafa ◽  
Tariq Javed

The present analysis is concerned to examine the enhancement of heat transfer in natural convection flow of nanofluid through a vertical wavy plate assumed at variable heat flux. The rate of heat transfer in nanofluid flow as compared to pure water can be increased due to increase the density of nanofluid which depends on the density and concentration of nanoparticles. For this analysis, Tiwari and Das model is used by considering two nanoparticles i. e. Al2O3 and Cu are suspended in a base fluid (water). A very efficient implicit finite difference technique converges quadratically is applied on the concerning PDE for numerical solution. The effects of pertinent parameters namely, volume fraction parameter of nanoparticle, wavy surface amplitude, Prandtl number and exponent of variable heat flux on streamlines, isothermal lines, local skin friction coefficient and local Nusselt number are shown through graphs. In this analysis, a maximum heat transfer rate is noted in Cu-water nanofluid through a vertical wavy surface as compared to Al2O3-water and pure water.


2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Maria Javaid ◽  
M. Imran ◽  
M. A. Imran ◽  
I. Khan ◽  
K. S. Nisar

2019 ◽  
Vol 23 (6 Part A) ◽  
pp. 3391-3400
Author(s):  
Abuzar Ghaffari ◽  
Tariq Javed ◽  
Irfan Mustafa ◽  
Fotini Labropulu

In this study, natural convection flow along a vertical wavy surface has been investigated with variable heat flux. The governing equations are transformed into dimensionless PDE by using the non-dimensional variables and then solved numerically by using an implicit finite difference scheme known as Keller Box method. The effects of the parameters amplitude of the wavy surface, ?, exponent of the variable heat flux, m, and Prandtl number on the local skin friction coefficient and local Nusselt number are shown graphically. It is found that for the negative value of exponent of the variable heat flux, m, the local skin friction coefficient increases and Nusselt number decreases but the opposite behavior is observed for the positive values of m. The comparison of limiting case with the previous study is shown through table and it is found that the solution obtained is in excellent agreement with the previous studies.


2013 ◽  
Vol 44 (8) ◽  
pp. 687-702 ◽  
Author(s):  
Tasawar Hayat ◽  
Sabir A. Shehzad ◽  
Muhammad Qasim ◽  
F. Alsaadi ◽  
Ahmed Alsaedi

Sign in / Sign up

Export Citation Format

Share Document