Heat Transfer of Bingham Fluids in an Annular Duct with Viscous Dissipation

2017 ◽  
Vol 39 (20) ◽  
pp. 1749-1765 ◽  
Author(s):  
Paulo M. Coelho ◽  
Robert J. Poole
Author(s):  
Farhan Ahmed ◽  
Mazhar Iqbal ◽  
Noreen Sher Akbar

Here we numerically analyse the effects of viscous dissipation and Joule heating on forced convection heat transfer rate of electrically conducting magnetohydrodynamic, ( MHD) power law fluid flow through annular duct. Mathematical model is formulated for constant properties power law fluid with steady, incompressible and laminar fully developed flow assumptions. Heat transfer results are determined by taking constant heat flux with peripheral wall temperature “known as H1 thermal boundary condition” at the solid walls of the channel. It has been observed that the effect of viscous dissipation reduces due to enhance damping magnetic field effect by increasing the value of Hartman number, Ha, especially in the case of shear thickening fluids.


Coatings ◽  
2021 ◽  
Vol 11 (5) ◽  
pp. 498
Author(s):  
Wasim Ullah Khan ◽  
Muhammad Awais ◽  
Nabeela Parveen ◽  
Aamir Ali ◽  
Saeed Ehsan Awan ◽  
...  

The current study is an attempt to analytically characterize the second law analysis and mixed convective rheology of the (Al2O3–Ag/H2O) hybrid nanofluid flow influenced by magnetic induction effects towards a stretching sheet. Viscous dissipation and internal heat generation effects are encountered in the analysis as well. The mathematical model of partial differential equations is fabricated by employing boundary-layer approximation. The transformed system of nonlinear ordinary differential equations is solved using the homotopy analysis method. The entropy generation number is formulated in terms of fluid friction, heat transfer and Joule heating. The effects of dimensionless parameters on flow variables and entropy generation number are examined using graphs and tables. Further, the convergence of HAM solutions is examined in terms of defined physical quantities up to 20th iterations, and confirmed. It is observed that large λ1 upgrades velocity, entropy generation and heat transfer rate, and drops the temperature. High values of δ enlarge velocity and temperature while reducing heat transport and entropy generation number. Viscous dissipation strongly influences an increase in flow and heat transfer rate caused by a no-slip condition on the sheet.


Author(s):  
M.A. Mansour ◽  
Sameh Elsayed Ahmed ◽  
Ali J. Chamkha

Purpose This paper aims to investigate the entropy generation due to magnetohydrodynamic natural convection flow and heat transfer in a porous enclosure filled with Cu-water nanofluid in the presence of viscous dissipation effect. The left and right walls of the cavity are thermally insulated. There are heated and cold parts, and these are placed on the bottom and top wall, respectively, whereas the remaining parts are thermally insulated. Design/methodology/approach The finite volume method is used to solve the dimensionless partial differential equations governing the problem. A comparison with previously published woks is presented and is found to be in an excellent agreement. Findings The minimization of entropy generation and local heat transfer according to different values of the governing parameters are presented in details. It is found that the presence of magnetic field has negative effects on the local entropy generation because of heat transfer and the local total entropy generation. Also, the increase in the heated part length leads to a decrease in the local Nusselt number. Originality/value This problem is original, as it has not been considered previously.


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