Numerical Solutions on Reiner–Philippoff (RP) Fluid Model with Velocity and Thermal Slip Boundary Condition

Non-Newtonian fluid model was created against the Newton’s Law of viscosity where the viscosity is no more constant and dependent on the shear rate. The existing such fluid can be found in many industrial claims especially in food manufacturing, lubrication, biomedical flows and oil and gas. Besides...

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Main Authors: Noor Amalina Nisa, Ariffin, Iskandar, Waini, Abdul Rahman, Mohd Kasim, Mohamad Hidayad, Ahmad Kamal, Mohd Rijal, Ilias, Seripah, Awang Kechil
Format: Article
Language:English
Published: Semarak Ilmu Publishing 2022
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Online Access:http://umpir.ump.edu.my/id/eprint/38156/1/Numerical%20Solutions%20on%20Reiner%E2%80%93Philippoff%20%28RP%29%20Fluid%20Model%20with%20Velocity%20and%20Thermal%20Slip%20Boundary%20Condition.pdf
http://umpir.ump.edu.my/id/eprint/38156/
https://doi.org/10.37934/cfdl.14.12.5265
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spelling my.ump.umpir.381562023-07-26T03:57:49Z http://umpir.ump.edu.my/id/eprint/38156/ Numerical Solutions on Reiner–Philippoff (RP) Fluid Model with Velocity and Thermal Slip Boundary Condition Noor Amalina Nisa, Ariffin Iskandar, Waini Abdul Rahman, Mohd Kasim Mohamad Hidayad, Ahmad Kamal Mohd Rijal, Ilias Seripah, Awang Kechil QA Mathematics Non-Newtonian fluid model was created against the Newton’s Law of viscosity where the viscosity is no more constant and dependent on the shear rate. The existing such fluid can be found in many industrial claims especially in food manufacturing, lubrication, biomedical flows and oil and gas. Besides, the used of non-Newtonian fluid occurs in mining industry where the slurries and muds are often handled. There are many models on non-Newtonian fluid available in literature where some of them capture the specific properties. The Reiner–Philippoff (RP) fluid model is considered in this endeavour due to the capabilities of the model which can be acted in three different family of fluid which are viscous, shear thickening and the shear-thinning. Mathematical model is constructed using continuity, momentum and energy equations where in form of partial differential equations (PDEs). The complexity of the proposed model is abridged by deduced the equations into ordinary differential equations (ODEs) by adopting similarity variables before the computation is done by bvp4c function drive in MATLAB software. To ratify the validity of the proposed model as well as numerical outputs, the comparative study is performed and it found to be in very strong agreement under limiting case where the present model is condensed to be identical with the reported model previously. The consequences of pertinent parameters on fluid’s characteristics are analyzed in details through the plotted graphic visuals and tabular form. © 2022, Penerbit Akademia Baru. All rights reserved. Semarak Ilmu Publishing 2022 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/38156/1/Numerical%20Solutions%20on%20Reiner%E2%80%93Philippoff%20%28RP%29%20Fluid%20Model%20with%20Velocity%20and%20Thermal%20Slip%20Boundary%20Condition.pdf Noor Amalina Nisa, Ariffin and Iskandar, Waini and Abdul Rahman, Mohd Kasim and Mohamad Hidayad, Ahmad Kamal and Mohd Rijal, Ilias and Seripah, Awang Kechil (2022) Numerical Solutions on Reiner–Philippoff (RP) Fluid Model with Velocity and Thermal Slip Boundary Condition. CFD Letters, 14 (12). pp. 52-65. ISSN 2180-1363. (Published) https://doi.org/10.37934/cfdl.14.12.5265 10.37934/cfdl.14.12.5265
institution Universiti Malaysia Pahang
building UMP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Pahang
content_source UMP Institutional Repository
url_provider http://umpir.ump.edu.my/
language English
topic QA Mathematics
spellingShingle QA Mathematics
Noor Amalina Nisa, Ariffin
Iskandar, Waini
Abdul Rahman, Mohd Kasim
Mohamad Hidayad, Ahmad Kamal
Mohd Rijal, Ilias
Seripah, Awang Kechil
Numerical Solutions on Reiner–Philippoff (RP) Fluid Model with Velocity and Thermal Slip Boundary Condition
description Non-Newtonian fluid model was created against the Newton’s Law of viscosity where the viscosity is no more constant and dependent on the shear rate. The existing such fluid can be found in many industrial claims especially in food manufacturing, lubrication, biomedical flows and oil and gas. Besides, the used of non-Newtonian fluid occurs in mining industry where the slurries and muds are often handled. There are many models on non-Newtonian fluid available in literature where some of them capture the specific properties. The Reiner–Philippoff (RP) fluid model is considered in this endeavour due to the capabilities of the model which can be acted in three different family of fluid which are viscous, shear thickening and the shear-thinning. Mathematical model is constructed using continuity, momentum and energy equations where in form of partial differential equations (PDEs). The complexity of the proposed model is abridged by deduced the equations into ordinary differential equations (ODEs) by adopting similarity variables before the computation is done by bvp4c function drive in MATLAB software. To ratify the validity of the proposed model as well as numerical outputs, the comparative study is performed and it found to be in very strong agreement under limiting case where the present model is condensed to be identical with the reported model previously. The consequences of pertinent parameters on fluid’s characteristics are analyzed in details through the plotted graphic visuals and tabular form. © 2022, Penerbit Akademia Baru. All rights reserved.
format Article
author Noor Amalina Nisa, Ariffin
Iskandar, Waini
Abdul Rahman, Mohd Kasim
Mohamad Hidayad, Ahmad Kamal
Mohd Rijal, Ilias
Seripah, Awang Kechil
author_facet Noor Amalina Nisa, Ariffin
Iskandar, Waini
Abdul Rahman, Mohd Kasim
Mohamad Hidayad, Ahmad Kamal
Mohd Rijal, Ilias
Seripah, Awang Kechil
author_sort Noor Amalina Nisa, Ariffin
title Numerical Solutions on Reiner–Philippoff (RP) Fluid Model with Velocity and Thermal Slip Boundary Condition
title_short Numerical Solutions on Reiner–Philippoff (RP) Fluid Model with Velocity and Thermal Slip Boundary Condition
title_full Numerical Solutions on Reiner–Philippoff (RP) Fluid Model with Velocity and Thermal Slip Boundary Condition
title_fullStr Numerical Solutions on Reiner–Philippoff (RP) Fluid Model with Velocity and Thermal Slip Boundary Condition
title_full_unstemmed Numerical Solutions on Reiner–Philippoff (RP) Fluid Model with Velocity and Thermal Slip Boundary Condition
title_sort numerical solutions on reiner–philippoff (rp) fluid model with velocity and thermal slip boundary condition
publisher Semarak Ilmu Publishing
publishDate 2022
url http://umpir.ump.edu.my/id/eprint/38156/1/Numerical%20Solutions%20on%20Reiner%E2%80%93Philippoff%20%28RP%29%20Fluid%20Model%20with%20Velocity%20and%20Thermal%20Slip%20Boundary%20Condition.pdf
http://umpir.ump.edu.my/id/eprint/38156/
https://doi.org/10.37934/cfdl.14.12.5265
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