Fractional Mechanism with Power Law (Singular) and Exponential (Non-singular) Kernels and Its Applications in Bio Heat Transfer Model

The present work covers the flow and heat transfer model for the power-law nanofluid in the presence of a porous medium over the penetrable plate. The flow is caused by the impulsive movement of the plate embedded in Darcy’s type porous medium. The flow and heat transfer model has been examined with the effect of linear thermal radiation and the internal heat source or sink in the flow regime. The Rosseland approximation is utilized for the optically thick nanofluid. To form the closed-form solutions for the governing partial differential equations of conservation of mass, momentum, and energy, the Lie symmetry analysis is used to get the reductions of governing equations and to find the group invariants. These invariants are then utilized to obtain the exact solution for all three cases, i.e., shear thinning fluid, Newtonian fluid, and shear thickening fluid. In the end, all solutions are plotted for the cu -water nanofluid and discussed briefly for the different emerging flow and heat transfer parameters.

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Suitable heat transfer model for self-similar laminar boundary layer in power law fluids

Journal of Thermal Science ◽

10.1007/s11630-004-0024-5 ◽

2004 ◽

Vol 13 (2) ◽

pp. 150-154 ◽

Cited By ~ 14

Author(s):

Liancun Zheng ◽

Xinxin Zhang ◽

Jicheng He

Keyword(s):

Heat Transfer ◽

Boundary Layer ◽

Laminar Boundary Layer ◽

Power Law ◽

Heat Transfer Model ◽

Transfer Model ◽

Power Law Fluids ◽

Self Similar

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RADIATIVE HEAT TRANSFER MODEL IN ARBITRARY ENCLOSURES BY RAY-TRACING

Proceedings of the Second International Symposium on Radiation Transfer ◽

10.1615/ichmt.1997.intsymliqtwophaseflowtranspphenchtradtransfproc.60 ◽

1997 ◽

Cited By ~ 2

Author(s):

Wen Cai

Keyword(s):

Heat Transfer ◽

Ray Tracing ◽

Radiative Heat Transfer ◽

Radiative Heat ◽

Heat Transfer Model ◽

Transfer Model

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A Heat Transfer Model for Concentrating Silicon Solar Cells in a Spectrally Splitting Hybrid Receiver

Proceedings of the 15th International Heat Transfer Conference ◽

10.1615/ihtc15.sol.009067 ◽

2014 ◽

Cited By ~ 1

Author(s):

Ahmad Mojiri ◽

Cameron Stanley ◽

Elizabeth Thomsen ◽

Vernie Everett ◽

Andrew Blakers ◽

...

Keyword(s):

Heat Transfer ◽

Solar Cells ◽

Heat Transfer Model ◽

Silicon Solar Cells ◽

Transfer Model

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Theoretical Post-Dryout Heat Transfer Model

International Journal of Computational Physics Series ◽

10.29167/a1i1p142-150 ◽

2018 ◽

Vol 1 (1) ◽

pp. 142-150

Author(s):

Murat Tunc ◽

Ayse Nur Esen ◽

Doruk Sen ◽

Ahmet Karakas

Keyword(s):

Heat Transfer ◽

Droplet Diameter ◽

Heat Transfer Model ◽

Transfer Model ◽

Operating Pressure ◽

Vertical Pipe ◽

Two Phase ◽

Experimental Values ◽

Reactor Operating ◽

Coolant System

A theoretical post-dryout heat transfer model is developed for two-phase dispersed flow, one-dimensional vertical pipe in a post-CHF regime. Because of the presence of average droplet diameter lower bound in a two-phase sparse flow. Droplet diameter is also calculated. Obtained results are compared with experimental values. Experimental data is used two-phase flow steam-water in VVER-1200, reactor coolant system, reactor operating pressure is 16.2 MPa. On heater rod surface, dryout was detected as a result of jumping increase of the heater rod surface temperature. Results obtained display lower droplet dimensions than the experimentally obtained values.

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