Simulation of Bingham–Papanastasiou model within trapezoidal cavity with mixed convection effects

The study of Bingham–Papanastasiou fluids is conducted in lid-driven cavity with consideration of viscous dissipation. The upper and left wall of the cavity is cold while other walls are insulated. Numerical simulations are conducted to study the isotherms, temperature profile, local and average Nus...

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Main Authors: Arooj Tanveer, Muhammad Bilal Ashraf
Format: Article
Language:English
Published: Elsevier 2024-11-01
Series:International Journal of Thermofluids
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Online Access:http://www.sciencedirect.com/science/article/pii/S2666202724003045
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author Arooj Tanveer
Muhammad Bilal Ashraf
author_facet Arooj Tanveer
Muhammad Bilal Ashraf
author_sort Arooj Tanveer
collection DOAJ
description The study of Bingham–Papanastasiou fluids is conducted in lid-driven cavity with consideration of viscous dissipation. The upper and left wall of the cavity is cold while other walls are insulated. Numerical simulations are conducted to study the isotherms, temperature profile, local and average Nusselt number. The main focus of work is to analyse the behaviour of heat transfer within trapezoidal cavity. The governing system of nonlinear dimensionless partial differential equations is analysed by using PDE solver of finite element method in COMSOL. The analysis is carried out for different parameters like Reynolds number, Bingham parameter, stress growth parameter, Eckert number and Prandtl number. It is observed that impact of Bingham parameter on temperature variation is negligible while the impact of stress parameter leads to the reduction in temperature within cavity. The novelty of this work is that no work is done for the case of trapezoidal cavity where Bingham–Papanastasiou fluid behaviour is observed under the consideration of viscous dissipation and mixed convection.
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spelling doaj-art-bee59f47685e4725acf018ef8fcc48c32025-08-20T02:50:13ZengElsevierInternational Journal of Thermofluids2666-20272024-11-012410086310.1016/j.ijft.2024.100863Simulation of Bingham–Papanastasiou model within trapezoidal cavity with mixed convection effectsArooj Tanveer0Muhammad Bilal Ashraf1Corresponding author.; Department of Mathematics, COMSATS University Islamabad (CUI), 455000, Park Road, Tarlai Kalan, Islamabad, PakistanDepartment of Mathematics, COMSATS University Islamabad (CUI), 455000, Park Road, Tarlai Kalan, Islamabad, PakistanThe study of Bingham–Papanastasiou fluids is conducted in lid-driven cavity with consideration of viscous dissipation. The upper and left wall of the cavity is cold while other walls are insulated. Numerical simulations are conducted to study the isotherms, temperature profile, local and average Nusselt number. The main focus of work is to analyse the behaviour of heat transfer within trapezoidal cavity. The governing system of nonlinear dimensionless partial differential equations is analysed by using PDE solver of finite element method in COMSOL. The analysis is carried out for different parameters like Reynolds number, Bingham parameter, stress growth parameter, Eckert number and Prandtl number. It is observed that impact of Bingham parameter on temperature variation is negligible while the impact of stress parameter leads to the reduction in temperature within cavity. The novelty of this work is that no work is done for the case of trapezoidal cavity where Bingham–Papanastasiou fluid behaviour is observed under the consideration of viscous dissipation and mixed convection.http://www.sciencedirect.com/science/article/pii/S2666202724003045Bingham–Papanastasiou fluidNusselt numberSkin friction coefficientViscous dissipationMixed convection
spellingShingle Arooj Tanveer
Muhammad Bilal Ashraf
Simulation of Bingham–Papanastasiou model within trapezoidal cavity with mixed convection effects
International Journal of Thermofluids
Bingham–Papanastasiou fluid
Nusselt number
Skin friction coefficient
Viscous dissipation
Mixed convection
title Simulation of Bingham–Papanastasiou model within trapezoidal cavity with mixed convection effects
title_full Simulation of Bingham–Papanastasiou model within trapezoidal cavity with mixed convection effects
title_fullStr Simulation of Bingham–Papanastasiou model within trapezoidal cavity with mixed convection effects
title_full_unstemmed Simulation of Bingham–Papanastasiou model within trapezoidal cavity with mixed convection effects
title_short Simulation of Bingham–Papanastasiou model within trapezoidal cavity with mixed convection effects
title_sort simulation of bingham papanastasiou model within trapezoidal cavity with mixed convection effects
topic Bingham–Papanastasiou fluid
Nusselt number
Skin friction coefficient
Viscous dissipation
Mixed convection
url http://www.sciencedirect.com/science/article/pii/S2666202724003045
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