Radiative MHD hybrid-nanofluids flow over a permeable stretching surface with heat source/sink embedded in porous medium
Priyanka Agrawal, Praveen Kumar Dadheech, R. N. Jat, Dumitru Bǎleanu, Sunıl Dutt Purohıt
Abstract
Purpose The purpose of this paper is to study the comparative analysis between three hybrid nanofluids flow past a permeable stretching surface in a porous medium with thermal radiation. Uniform magnetic field is applied together with heat source and sink. Three set of different hybrid nanofluids with water as a base fluid having suspension of Copper-Aluminum Oxide <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mrow><m:mrow><m:mo stretchy="true">(</m:mo><m:mrow><m:mi>C</m:mi><m:mi>u</m:mi><m:mo>−</m:mo><m:mi>A</m:mi><m:msub><m:mi>l</m:mi><m:mn>2</m:mn></m:msub><m:msub><m:mi>O</m:mi><m:mn>3</m:mn></m:msub></m:mrow><m:mo stretchy="true">)</m:mo></m:mrow></m:mrow></m:math> , Silver-Aluminum Oxide <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mrow><m:mrow><m:mo stretchy="true">(</m:mo><m:mrow><m:mi>A</m:mi><m:mi>g</m:mi><m:mo>−</m:mo><m:mi>A</m:mi><m:msub><m:mi>l</m:mi><m:mn>2</m:mn></m:msub><m:msub><m:mi>O</m:mi><m:mn>3</m:mn></m:msub></m:mrow><m:mo stretchy="true">)</m:mo></m:mrow></m:mrow></m:math> and Copper-Silver <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mrow><m:mrow><m:mo stretchy="true">(</m:mo><m:mrow><m:mi>C</m:mi><m:mi>u</m:mi><m:mo>−</m:mo><m:mi>A</m:mi><m:mi>g</m:mi></m:mrow><m:mo stretchy="true">)</m:mo></m:mrow></m:mrow></m:math> nanoparticles are considered. The Marangoni boundary condition is applied. Design/methodology/approach The governing model of the flow is solved by Runga–Kutta fourth-order method with shooting technique, using appropriate similarity transformations. Temperature and velocity field are explained by the figures for many flow pertinent parameters. Findings Almost same behavior is observed for all the parameters presented in this analysis for the three set of hybrid nanofluids. For increased mass transfer wall parameter ( <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mrow><m:msub><m:mi>f</m:mi><m:mi>w</m:mi></m:msub></m:mrow></m:math> ) and Prandtl Number (Pr), heat transfer rate cuts down for all three sets of hybrid nanofluids, and reverse effect is seen for radiation parameter (R), and heat source/sink parameter ( <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mi>δ</m:mi></m:math> ). Practical implications The thermal conductivity of hybrid nanofluids is much larger than the conventional fluids; thus, heat transfer efficiency can be improved with these fluids and its implications can be seen in the fields of biomedical, microelectronics, thin-film stretching, lubrication, refrigeration, etc. Originality/value The current analysis is to optimize heat transfer of three different radiative hybrid nanofluids ( <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mrow><m:mi>C</m:mi><m:mi>u</m:mi><m:mo>−</m:mo><m:mi>A</m:mi><m:msub><m:mi>l</m:mi><m:mn>2</m:mn></m:msub><m:msub><m:mi>O</m:mi><m:mn>3</m:mn></m:msub><m:mo>/</m:mo><m:msub><m:mi>H</m:mi><m:mn>2</m:mn></m:msub><m:mi>O</m:mi></m:mrow></m:math> , <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mrow><m:mi>A</m:mi><m:mi>g</m:mi><m:mo>−</m:mo><m:mi>A</m:mi><m:msub><m:mi>l</m:mi><m:mn>2</m:mn></m:msub><m:msub><m:mi>O</m:mi><m:mn>3</m:mn></m:msub><m:mo>/</m:mo><m:msub><m:mi>H</m:mi><m:mn>2</m:mn></m:msub><m:mi>O</m:mi></m:mrow></m:math> and <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="inline"><m:mrow><m:mi>C</m:mi><m:mi>u</m:mi><m:mo>−</m:mo><m:mi>A</m:mi><m:mi>g</m:mi><m:mo>/</m:mo><m:msub><m:mi>H</m:mi><m:mn>2</m:mn></m:msub><m:mi>O</m:mi></m:mrow></m:math> ) over stretching surface after applying heat source/sink with Marangoni convection. To the best of the authors’ knowledge, this work is new and never published before.