An inclination in Thermal Energy Using Nanoparticles with Casson Liquid Past an Expanding Porous Surface

The physical aspects of inclined MHD nanofluid toward a stretching sheet embedded in a porous medium were visualized, which has numerous applications in industry. Two types of nanoparticles, namely copper and aluminum oxide, were used, with water (limiting case of Casson liquid) as the base fluid. S...

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Autores principales: Umar Nazir, Muhammad Sohail, Muhammad Bilal Hafeez, Marek Krawczuk, Sameh Askar, Sammar Wasif
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:bb919057ceed496d81c1da4fb3910d0f2021-11-11T16:03:06ZAn inclination in Thermal Energy Using Nanoparticles with Casson Liquid Past an Expanding Porous Surface10.3390/en142173281996-1073https://doaj.org/article/bb919057ceed496d81c1da4fb3910d0f2021-11-01T00:00:00Zhttps://www.mdpi.com/1996-1073/14/21/7328https://doaj.org/toc/1996-1073The physical aspects of inclined MHD nanofluid toward a stretching sheet embedded in a porous medium were visualized, which has numerous applications in industry. Two types of nanoparticles, namely copper and aluminum oxide, were used, with water (limiting case of Casson liquid) as the base fluid. Similarity transformations were used to convert the partial differential equations into a set of ordinary differential equations. Closed solutions were found to examine the velocity and temperature profiles. It was observed that an increment in the magnitude of the Hartmann number, solid volume fraction, and velocity slip parameter brought a reduction in the velocity profile, and the opposite behavior was shown for the permeability parameter in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>C</mi><mi>u</mi></mrow></semantics></math></inline-formula>–water and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><msub><mi>l</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub></mrow></semantics></math></inline-formula>–water nanofluids. The temperature field, local skin friction, and local Nusselt number were further examined. Moreover, the study of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>C</mi><mi>u</mi></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><msub><mi>l</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub></mrow></semantics></math></inline-formula> is useful to boost the efficiency of thermal conductivity and thermal energy in particles. Reduction was captured in the velocity gradient and temperature gradient against changes in the thermal radiation number. The opposite trend was tabulated into motion with respect to the volume fraction number for both cases (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>C</mi><mi>u</mi></mrow></semantics></math></inline-formula>–water and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><msub><mi>l</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub></mrow></semantics></math></inline-formula>–water).Umar NazirMuhammad SohailMuhammad Bilal HafeezMarek KrawczukSameh AskarSammar WasifMDPI AGarticleporous heat surfacemagnetohydrodynamicthermal propertiesthermal enhancementsurface forceTechnologyTENEnergies, Vol 14, Iss 7328, p 7328 (2021)
institution DOAJ
collection DOAJ
language EN
topic porous heat surface
magnetohydrodynamic
thermal properties
thermal enhancement
surface force
Technology
T
spellingShingle porous heat surface
magnetohydrodynamic
thermal properties
thermal enhancement
surface force
Technology
T
Umar Nazir
Muhammad Sohail
Muhammad Bilal Hafeez
Marek Krawczuk
Sameh Askar
Sammar Wasif
An inclination in Thermal Energy Using Nanoparticles with Casson Liquid Past an Expanding Porous Surface
description The physical aspects of inclined MHD nanofluid toward a stretching sheet embedded in a porous medium were visualized, which has numerous applications in industry. Two types of nanoparticles, namely copper and aluminum oxide, were used, with water (limiting case of Casson liquid) as the base fluid. Similarity transformations were used to convert the partial differential equations into a set of ordinary differential equations. Closed solutions were found to examine the velocity and temperature profiles. It was observed that an increment in the magnitude of the Hartmann number, solid volume fraction, and velocity slip parameter brought a reduction in the velocity profile, and the opposite behavior was shown for the permeability parameter in <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>C</mi><mi>u</mi></mrow></semantics></math></inline-formula>–water and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><msub><mi>l</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub></mrow></semantics></math></inline-formula>–water nanofluids. The temperature field, local skin friction, and local Nusselt number were further examined. Moreover, the study of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>C</mi><mi>u</mi></mrow></semantics></math></inline-formula> and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><msub><mi>l</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub></mrow></semantics></math></inline-formula> is useful to boost the efficiency of thermal conductivity and thermal energy in particles. Reduction was captured in the velocity gradient and temperature gradient against changes in the thermal radiation number. The opposite trend was tabulated into motion with respect to the volume fraction number for both cases (<inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>C</mi><mi>u</mi></mrow></semantics></math></inline-formula>–water and <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>A</mi><msub><mi>l</mi><mn>2</mn></msub><msub><mi>O</mi><mn>3</mn></msub></mrow></semantics></math></inline-formula>–water).
format article
author Umar Nazir
Muhammad Sohail
Muhammad Bilal Hafeez
Marek Krawczuk
Sameh Askar
Sammar Wasif
author_facet Umar Nazir
Muhammad Sohail
Muhammad Bilal Hafeez
Marek Krawczuk
Sameh Askar
Sammar Wasif
author_sort Umar Nazir
title An inclination in Thermal Energy Using Nanoparticles with Casson Liquid Past an Expanding Porous Surface
title_short An inclination in Thermal Energy Using Nanoparticles with Casson Liquid Past an Expanding Porous Surface
title_full An inclination in Thermal Energy Using Nanoparticles with Casson Liquid Past an Expanding Porous Surface
title_fullStr An inclination in Thermal Energy Using Nanoparticles with Casson Liquid Past an Expanding Porous Surface
title_full_unstemmed An inclination in Thermal Energy Using Nanoparticles with Casson Liquid Past an Expanding Porous Surface
title_sort inclination in thermal energy using nanoparticles with casson liquid past an expanding porous surface
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/bb919057ceed496d81c1da4fb3910d0f
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