Analysis of natural convection flows of Jeffrey fluid with Prabhakar-like thermal transport

Zar Ali Khan; Nehad Ali Shah; Nadeem Haider; Essam R. El-Zahar; Se Jin Yook

doi:10.1016/j.csite.2022.102079

Analysis of natural convection flows of Jeffrey fluid with Prabhakar-like thermal transport

Zar Ali Khan
, Nehad Ali Shah
, Nadeem Haider
, Essam R. El-Zahar
, Se Jin Yook

Mathematics

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

The free convection flow of Prabhakar fractional Jeffrey fluid on an oscillated vertical plate with homogenous heat flux is investigated. With the help of the Laplace transform and the Boussinesq's approximation, precise solutions for dimensionless momentum may be found. The temperature and velocity of Prabhakar fractional time free convection flows are compared to conventional thermal transport, as shown by Fourier's law. They met all of the requirements and recovered Newtonian and ordinary Jeffrey fluid solutions from fractional Jeffrey fluid. Finally, graphs show the effect of various physical parameters such as fractional parameters, Grashof number, Prandtl number and Jeffrey parameters on both temperature and velocity.

Original language	English
Article number	102079
Journal	Case Studies in Thermal Engineering
Volume	35
DOIs	https://doi.org/10.1016/j.csite.2022.102079
State	Published - Jul 2022

Keywords

Analytical solutions
Dimensionless parameters
Jeffrey fluid
Laplace transform
Prabhakar-like fractional derivative

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10.1016/j.csite.2022.102079

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title = "Analysis of natural convection flows of Jeffrey fluid with Prabhakar-like thermal transport",

abstract = "The free convection flow of Prabhakar fractional Jeffrey fluid on an oscillated vertical plate with homogenous heat flux is investigated. With the help of the Laplace transform and the Boussinesq's approximation, precise solutions for dimensionless momentum may be found. The temperature and velocity of Prabhakar fractional time free convection flows are compared to conventional thermal transport, as shown by Fourier's law. They met all of the requirements and recovered Newtonian and ordinary Jeffrey fluid solutions from fractional Jeffrey fluid. Finally, graphs show the effect of various physical parameters such as fractional parameters, Grashof number, Prandtl number and Jeffrey parameters on both temperature and velocity.",

keywords = "Analytical solutions, Dimensionless parameters, Jeffrey fluid, Laplace transform, Prabhakar-like fractional derivative",

author = "Khan, \{Zar Ali\} and Shah, \{Nehad Ali\} and Nadeem Haider and El-Zahar, \{Essam R.\} and Yook, \{Se Jin\}",

year = "2022",

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doi = "10.1016/j.csite.2022.102079",

language = "English",

volume = "35",

journal = "Case Studies in Thermal Engineering",

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TY - JOUR

T1 - Analysis of natural convection flows of Jeffrey fluid with Prabhakar-like thermal transport

AU - Khan, Zar Ali

AU - Shah, Nehad Ali

AU - Haider, Nadeem

AU - El-Zahar, Essam R.

AU - Yook, Se Jin

PY - 2022/7

Y1 - 2022/7

N2 - The free convection flow of Prabhakar fractional Jeffrey fluid on an oscillated vertical plate with homogenous heat flux is investigated. With the help of the Laplace transform and the Boussinesq's approximation, precise solutions for dimensionless momentum may be found. The temperature and velocity of Prabhakar fractional time free convection flows are compared to conventional thermal transport, as shown by Fourier's law. They met all of the requirements and recovered Newtonian and ordinary Jeffrey fluid solutions from fractional Jeffrey fluid. Finally, graphs show the effect of various physical parameters such as fractional parameters, Grashof number, Prandtl number and Jeffrey parameters on both temperature and velocity.

AB - The free convection flow of Prabhakar fractional Jeffrey fluid on an oscillated vertical plate with homogenous heat flux is investigated. With the help of the Laplace transform and the Boussinesq's approximation, precise solutions for dimensionless momentum may be found. The temperature and velocity of Prabhakar fractional time free convection flows are compared to conventional thermal transport, as shown by Fourier's law. They met all of the requirements and recovered Newtonian and ordinary Jeffrey fluid solutions from fractional Jeffrey fluid. Finally, graphs show the effect of various physical parameters such as fractional parameters, Grashof number, Prandtl number and Jeffrey parameters on both temperature and velocity.

KW - Analytical solutions

KW - Dimensionless parameters

KW - Jeffrey fluid

KW - Laplace transform

KW - Prabhakar-like fractional derivative

UR - https://www.scopus.com/pages/publications/85130298664

U2 - 10.1016/j.csite.2022.102079

DO - 10.1016/j.csite.2022.102079

M3 - Article

AN - SCOPUS:85130298664

SN - 2214-157X

VL - 35

JO - Case Studies in Thermal Engineering

JF - Case Studies in Thermal Engineering

M1 - 102079

ER -

Analysis of natural convection flows of Jeffrey fluid with Prabhakar-like thermal transport

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Keywords

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