Investigation of heat and mass transfer performance in Jeffrey fluid: impact of Prabhakar fractional operator

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F24%3A10256383" target="_blank" >RIV/61989100:27740/24:10256383 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.tandfonline.com/doi/full/10.1080/25765299.2024.2423467" target="_blank" >https://www.tandfonline.com/doi/full/10.1080/25765299.2024.2423467</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/25765299.2024.2423467" target="_blank" >10.1080/25765299.2024.2423467</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Investigation of heat and mass transfer performance in Jeffrey fluid: impact of Prabhakar fractional operator

Popis výsledku v původním jazyce

This theoretical study seeks to extend the concept of fractional Jeffrey fluid and heat transfer near an infinite vertical plate, governed by generalized boundary conditions, using a time-fractional Prabhakar operator. Initially, the momentum equation incorporating the fractional Jeffrey model is developed to examine the unsteady flow, focusing on pressure dynamics within the boundary layer. Additionally, the energy equation, along with convective heat and mass transfer under generalized conditions, is formulated using the extended Fourier’s law. The Prabhakar fractional operator is utilized to represent the fluid’s transport mechanisms. The study presents fractional governing equations to describe heat, mass, and flow transfer processes influenced by magnetic fields and radiation effects. A Prabhakar fractional derivative is applied to model the fractional system, and analytical solutions are derived using the Laplace transform technique. The accuracy and validity of the results are confirmed by comparing them with previous work and exact solutions. Furthermore, the strong agreement between our analytical solutions and earlier studies reinforces the method’s reliability. The effects of various parameters on the fluid’s velocity, mass, and temperature distribution are demonstrated graphically. Changes in the model’s parameters result in varying trends in the velocity, mass, and temperature profiles, highlighting the critical impact of each parameter on the behavior of fluid flow, mass, and heat transfer.

Název v anglickém jazyce

Investigation of heat and mass transfer performance in Jeffrey fluid: impact of Prabhakar fractional operator

Popis výsledku anglicky

This theoretical study seeks to extend the concept of fractional Jeffrey fluid and heat transfer near an infinite vertical plate, governed by generalized boundary conditions, using a time-fractional Prabhakar operator. Initially, the momentum equation incorporating the fractional Jeffrey model is developed to examine the unsteady flow, focusing on pressure dynamics within the boundary layer. Additionally, the energy equation, along with convective heat and mass transfer under generalized conditions, is formulated using the extended Fourier’s law. The Prabhakar fractional operator is utilized to represent the fluid’s transport mechanisms. The study presents fractional governing equations to describe heat, mass, and flow transfer processes influenced by magnetic fields and radiation effects. A Prabhakar fractional derivative is applied to model the fractional system, and analytical solutions are derived using the Laplace transform technique. The accuracy and validity of the results are confirmed by comparing them with previous work and exact solutions. Furthermore, the strong agreement between our analytical solutions and earlier studies reinforces the method’s reliability. The effects of various parameters on the fluid’s velocity, mass, and temperature distribution are demonstrated graphically. Changes in the model’s parameters result in varying trends in the velocity, mass, and temperature profiles, highlighting the critical impact of each parameter on the behavior of fluid flow, mass, and heat transfer.

Druh

J_SC - Článek v periodiku v databázi SCOPUS

CEP obor

—

OECD FORD obor

21100 - Other engineering and technologies

Projekt

—

Návaznosti

O - Projekt operacniho programu

Rok uplatnění

2024

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Arab Journal of Basic and Applied Sciences

ISSN

2576-5299

e-ISSN

2576-5299

Svazek periodika

31

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

13

Strana od-do

591-603

Kód UT WoS článku

—

EID výsledku v databázi Scopus

2-s2.0-85209574611