Characterization of Marangoni Forced Convection in Casson Nanoliquid Flow with Joule Heating and Irreversibility

The Marangoni forced convective inclined magnetohydrodynamic flow is examined. Marangoni forced convection depends on the differences in surface pressure computed by magnetic field, temperature, and concentration gradient. Casson nanoliquid flow by an infinite disk is considered. Viscous dissipation...

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Main Authors: Muhammad Adil Sadiq, Tasawar Hayat
Format: Article
Language:English
Published: MDPI AG 2020-04-01
Series:Entropy
Subjects:
Online Access:https://www.mdpi.com/1099-4300/22/4/433
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author Muhammad Adil Sadiq
Tasawar Hayat
author_facet Muhammad Adil Sadiq
Tasawar Hayat
author_sort Muhammad Adil Sadiq
collection DOAJ
description The Marangoni forced convective inclined magnetohydrodynamic flow is examined. Marangoni forced convection depends on the differences in surface pressure computed by magnetic field, temperature, and concentration gradient. Casson nanoliquid flow by an infinite disk is considered. Viscous dissipation, heat flux, and Joule heating are addressed in energy expressions. Thermophoresis and Brownian motion are also examined. Entropy generation is computed. The physical characteristics of entropy optimization with Arrhenius activation energy are discussed. Nonlinear PDE’s are reduced to highly nonlinear ordinary systems with appropriate transformations. A nonlinear system is numerically computed by the NDSolve technique. The salient characteristics of velocity, temperature, concentration, entropy generation, and Bejan number are explained. The computational results of the heat-transfer rate and concentration gradient are examined through tables. Velocity and temperature have reverse effects for the higher approximation of the Marangoni number. Velocity is a decreasing function of the Casson fluid parameter. Temperature is enhanced for higher radiation during reverse hold for concentration against the Marangoni number. The Bejan number and entropy generation have similar effects for Casson fluid and radiation parameters. For a higher estimation of the Brinkman number, the entropy optimization is augmented.
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spelling doaj.art-caa9ce645a1c4aeeba80d53d06615f2e2023-11-19T21:18:25ZengMDPI AGEntropy1099-43002020-04-0122443310.3390/e22040433Characterization of Marangoni Forced Convection in Casson Nanoliquid Flow with Joule Heating and IrreversibilityMuhammad Adil Sadiq0Tasawar Hayat1Department of Mathematics, DCC-KFUPM Box 5084, Dhahran 31261, Saudi ArabiaDepartment of Mathematics, Quaid-I-Azam University, Islamabad 45320, PakistanThe Marangoni forced convective inclined magnetohydrodynamic flow is examined. Marangoni forced convection depends on the differences in surface pressure computed by magnetic field, temperature, and concentration gradient. Casson nanoliquid flow by an infinite disk is considered. Viscous dissipation, heat flux, and Joule heating are addressed in energy expressions. Thermophoresis and Brownian motion are also examined. Entropy generation is computed. The physical characteristics of entropy optimization with Arrhenius activation energy are discussed. Nonlinear PDE’s are reduced to highly nonlinear ordinary systems with appropriate transformations. A nonlinear system is numerically computed by the NDSolve technique. The salient characteristics of velocity, temperature, concentration, entropy generation, and Bejan number are explained. The computational results of the heat-transfer rate and concentration gradient are examined through tables. Velocity and temperature have reverse effects for the higher approximation of the Marangoni number. Velocity is a decreasing function of the Casson fluid parameter. Temperature is enhanced for higher radiation during reverse hold for concentration against the Marangoni number. The Bejan number and entropy generation have similar effects for Casson fluid and radiation parameters. For a higher estimation of the Brinkman number, the entropy optimization is augmented.https://www.mdpi.com/1099-4300/22/4/433mixed convectionrotating coneviscous fluidBejan numberentropy generationthermal radiation
spellingShingle Muhammad Adil Sadiq
Tasawar Hayat
Characterization of Marangoni Forced Convection in Casson Nanoliquid Flow with Joule Heating and Irreversibility
Entropy
mixed convection
rotating cone
viscous fluid
Bejan number
entropy generation
thermal radiation
title Characterization of Marangoni Forced Convection in Casson Nanoliquid Flow with Joule Heating and Irreversibility
title_full Characterization of Marangoni Forced Convection in Casson Nanoliquid Flow with Joule Heating and Irreversibility
title_fullStr Characterization of Marangoni Forced Convection in Casson Nanoliquid Flow with Joule Heating and Irreversibility
title_full_unstemmed Characterization of Marangoni Forced Convection in Casson Nanoliquid Flow with Joule Heating and Irreversibility
title_short Characterization of Marangoni Forced Convection in Casson Nanoliquid Flow with Joule Heating and Irreversibility
title_sort characterization of marangoni forced convection in casson nanoliquid flow with joule heating and irreversibility
topic mixed convection
rotating cone
viscous fluid
Bejan number
entropy generation
thermal radiation
url https://www.mdpi.com/1099-4300/22/4/433
work_keys_str_mv AT muhammadadilsadiq characterizationofmarangoniforcedconvectionincassonnanoliquidflowwithjouleheatingandirreversibility
AT tasawarhayat characterizationofmarangoniforcedconvectionincassonnanoliquidflowwithjouleheatingandirreversibility