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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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) |
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porous heat surface magnetohydrodynamic thermal properties thermal enhancement surface force Technology T |
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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 |
work_keys_str_mv |
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