Power law memory of natural convection flow of hybrid nanofluids with constant proportional Caputo fractional derivative due to pressure gradient

Pramana ◽  
2020 ◽  
Vol 94 (1) ◽  
Author(s):  
Rizwan Ali ◽  
Ali Akgül ◽  
Muhammad Imran Asjad
Keyword(s):  
Natural Convection ◽  
Fractional Derivative ◽  
Pressure Gradient ◽  
Power Law ◽  
Caputo Fractional Derivative ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Hybrid Nanofluids

Natural convection flow of a non-Newtonian power-law fluid from a slotted vertical surface with uniform surface heat flux

2008 ◽  
Vol 223 (3) ◽  
pp. 637-642 ◽  
Author(s):  
R S R Gorla ◽  
M A Hossain
Keyword(s):  
Heat Transfer ◽  
Natural Convection ◽  
Power Law ◽  
Vertical Surface ◽  
Surface Heat ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Boundary Layer Equations ◽  
Power Law Index ◽  
Type Power

In the present paper, the natural convection flow of an Ostwalde—de Waele type power-law non-Newtonian fluid past a uniformly heated vertical slotted surface has been investigated numerically. The equations governing the flow and heat transfer are reduced to local non-similarity form. The transformed boundary-layer equations are solved numerically using implicit finite-difference method for values of ξ in the interval [0, ∞]. Solutions for heat transfer rate obtained for the rigid surface compared well with those documented in the published literature. From the present analysis, it is observed that an increase in ξ leads to increasing the skin-friction as well as reduction in heat transfer at the surface. As the power-law index n increases, the friction factor as well as the surface heat transfer increases.

scholarly journals A novel comparative case study of entropy generation for natural convection flow of proportional-Caputo hybrid and Atangana baleanu fractional derivative

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Dolat khan ◽  
Poom Kumam ◽  
Wiboonsak Watthayu
Keyword(s):  
Natural Convection ◽  
Fractional Derivative ◽  
Entropy Generation ◽  
Comparative Case Study ◽  
Convection Flow ◽  
Bejan Number ◽  
Natural Convection Flow ◽  
The Comparative Study ◽  
The Impact ◽  
First Time

AbstractThis article focused on the comparative study of entropy generation for natural convection flow of the newly proportional Caputo hybrid and Atangana baleanu fractional derivative. The governing equation is formed as the set of partial differential equations with the physical boundary conditions. The report of entropy generation is investigated for the first time for proportional–Caputo hybrid model and comparison are sorts out with generalized Atangana baleanu fractional derivative. The Bejan number is also compared for the mention fractional derivatives. Graphs show the impact of various factors on the minimization and maximizing of entropy production. The newly proportional Caputo hybrid operator has a good memory effect rather than Atangana baleanu fractional operator.

Viscous dissipation in external natural convection flows

1969 ◽  
Vol 38 (1) ◽  
pp. 97-107 ◽  
Author(s):  
B. Gebhart ◽  
J. Mollendorf
Keyword(s):  
Boundary Layer ◽  
Natural Convection ◽  
Viscous Dissipation ◽  
Power Law ◽  
Surface Condition ◽  
Convection Flow ◽  
Natural Convection Flow ◽  
Wide Range ◽  
Prandtl Numbers ◽  
General Aspects

The effects of viscous dissipation are considered for external natural convection flow over a surface. A class of similar boundary-layer solutions is given and numerical results are presented for a wide range of the dissipation and Prandtl numbers. Several general aspects of similarity conditions for flow over surfaces and in convection plumes are discussed and their special characteristics considered. The general equations including the dissipation effect are given for the non-similar power law surface condition.

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