The investigation of a fluid-solid interaction mathematical model under combined convective Jeffrey flow and radiation effect embedded newtonian heating as the thermal boundary condition over a vertical stretching sheet

The investigation on the interaction between solid and fluid under combined convective flow has been carried out mathematically. The Jeffrey fluid model is taken as the fluid phase and the model is being embedded with the dust particles (solid phase). This two-phase model is constructed by introduci...

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Main Authors: Abdul Rahman, Mohd Kasim, Nur Syamilah, Arifin, Syazwani, Mohd Zokri, Mohd Zuki, Salleh
Format: Article
Language:English
Published: Trans Tech Publications Ltd 2020
Subjects:
Online Access:http://umpir.ump.edu.my/id/eprint/30794/1/The%20investigation%20of%20a%20fluid-solid%20interaction%20mathematical%20model%20.pdf
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author Abdul Rahman, Mohd Kasim
Nur Syamilah, Arifin
Syazwani, Mohd Zokri
Mohd Zuki, Salleh
author_facet Abdul Rahman, Mohd Kasim
Nur Syamilah, Arifin
Syazwani, Mohd Zokri
Mohd Zuki, Salleh
author_sort Abdul Rahman, Mohd Kasim
collection UMP
description The investigation on the interaction between solid and fluid under combined convective flow has been carried out mathematically. The Jeffrey fluid model is taken as the fluid phase and the model is being embedded with the dust particles (solid phase). This two-phase model is constructed by introducing the fluid-particles interaction forces in the momentum equations of the fluid and dust phases, respectively. The natural and forced convections together with the aligned magnetic field are considered on the fluid flow. Also, the Newtonian heating as thermal boundary condition is induced on the vertical stretching sheet. In order to reduce the complexity of the model, the governing equations are transformed from partial differential equation into ordinary differential equation via suitable similarity transformation. The solutions are obtained in terms of velocity and temperature profiles for the fluid and particles phases respectively whereby the Keller-box method is utilized to obtain the desired outcomes. The influences of several significant physical parameters are visualized graphically to clarify the flow and heat transfer characteristic for both phases. The investigation found that the fluid’s velocity is affected by the presence of the dust particles which led to decelerate the fluid transference. The present flow model is able to be compared with the single-phase fluid cases if the fluid-particle interaction parameter is ignored.
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spelling UMPir307942021-02-25T08:12:42Z http://umpir.ump.edu.my/id/eprint/30794/ The investigation of a fluid-solid interaction mathematical model under combined convective Jeffrey flow and radiation effect embedded newtonian heating as the thermal boundary condition over a vertical stretching sheet Abdul Rahman, Mohd Kasim Nur Syamilah, Arifin Syazwani, Mohd Zokri Mohd Zuki, Salleh QA Mathematics The investigation on the interaction between solid and fluid under combined convective flow has been carried out mathematically. The Jeffrey fluid model is taken as the fluid phase and the model is being embedded with the dust particles (solid phase). This two-phase model is constructed by introducing the fluid-particles interaction forces in the momentum equations of the fluid and dust phases, respectively. The natural and forced convections together with the aligned magnetic field are considered on the fluid flow. Also, the Newtonian heating as thermal boundary condition is induced on the vertical stretching sheet. In order to reduce the complexity of the model, the governing equations are transformed from partial differential equation into ordinary differential equation via suitable similarity transformation. The solutions are obtained in terms of velocity and temperature profiles for the fluid and particles phases respectively whereby the Keller-box method is utilized to obtain the desired outcomes. The influences of several significant physical parameters are visualized graphically to clarify the flow and heat transfer characteristic for both phases. The investigation found that the fluid’s velocity is affected by the presence of the dust particles which led to decelerate the fluid transference. The present flow model is able to be compared with the single-phase fluid cases if the fluid-particle interaction parameter is ignored. Trans Tech Publications Ltd 2020-02 Article PeerReviewed pdf en http://umpir.ump.edu.my/id/eprint/30794/1/The%20investigation%20of%20a%20fluid-solid%20interaction%20mathematical%20model%20.pdf Abdul Rahman, Mohd Kasim and Nur Syamilah, Arifin and Syazwani, Mohd Zokri and Mohd Zuki, Salleh (2020) The investigation of a fluid-solid interaction mathematical model under combined convective Jeffrey flow and radiation effect embedded newtonian heating as the thermal boundary condition over a vertical stretching sheet. Defect and Diffusion Forum, 399. pp. 65-75. ISSN 1012-0386. (Published) https://doi.org/10.4028/www.scientific.net/DDF.399.65 https://doi.org/10.4028/www.scientific.net/DDF.399.65
spellingShingle QA Mathematics
Abdul Rahman, Mohd Kasim
Nur Syamilah, Arifin
Syazwani, Mohd Zokri
Mohd Zuki, Salleh
The investigation of a fluid-solid interaction mathematical model under combined convective Jeffrey flow and radiation effect embedded newtonian heating as the thermal boundary condition over a vertical stretching sheet
title The investigation of a fluid-solid interaction mathematical model under combined convective Jeffrey flow and radiation effect embedded newtonian heating as the thermal boundary condition over a vertical stretching sheet
title_full The investigation of a fluid-solid interaction mathematical model under combined convective Jeffrey flow and radiation effect embedded newtonian heating as the thermal boundary condition over a vertical stretching sheet
title_fullStr The investigation of a fluid-solid interaction mathematical model under combined convective Jeffrey flow and radiation effect embedded newtonian heating as the thermal boundary condition over a vertical stretching sheet
title_full_unstemmed The investigation of a fluid-solid interaction mathematical model under combined convective Jeffrey flow and radiation effect embedded newtonian heating as the thermal boundary condition over a vertical stretching sheet
title_short The investigation of a fluid-solid interaction mathematical model under combined convective Jeffrey flow and radiation effect embedded newtonian heating as the thermal boundary condition over a vertical stretching sheet
title_sort investigation of a fluid solid interaction mathematical model under combined convective jeffrey flow and radiation effect embedded newtonian heating as the thermal boundary condition over a vertical stretching sheet
topic QA Mathematics
url http://umpir.ump.edu.my/id/eprint/30794/1/The%20investigation%20of%20a%20fluid-solid%20interaction%20mathematical%20model%20.pdf
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