Nonlinear Mixed Convective Bidirectional Dynamics of Double Stratified Radiative Oldroyd-B Nanofluid Flow with Heat Source/Sink and Higher-Order Chemical Reaction

Abstract

Little is known in the literature about the concept of nonuniform heat source/sink and higher-order chemical reaction for the dynamics of Oldroyd-B nanoparticles. Therefore, the present article addresses the nonuniform heat source/sink and higher-order chemical reaction features in nonlinear mixed convection bidirectional MHD dynamics of Oldroyd-B nanoparticles with thermal radiation aspects through porous space. Stratification effects for both the temperature and concentration setups are also used in the mathematical model with the significance of random movement and thermodiffusion of nanoparticles. Shape-preserving transformations have been employed to convert the transport equations into solvable forms. An innovative analytical tactic, namely, homotopy analysis method, has been adopted to find the solution of the modeled problem. Behaviors of pertinent parameters on thermal and concentration profiles have been discussed through various graphs. Inspection of heat/mass transport against appropriate varieties of pertinent parameters has been made and explained physically. Thermal profile is augmented with the higher estimations of space and temperature-dependent heat source/sink links. Concentration profile is diminished with the augmentation of higher-order chemical reaction parameter. Sherwood number is improved with the estimation of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mn>0</a:mn> <a:mo>≤</a:mo> <a:msub> <a:mrow> <a:mi>β</a:mi> </a:mrow> <a:mrow> <a:mi>t</a:mi> </a:mrow> </a:msub> <a:mo>≤</a:mo> <a:mn>100</a:mn> </a:math> and is reduced with the growth of <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" id="M2"> <c:mn>0</c:mn> <c:mo>≤</c:mo> <c:msub> <c:mrow> <c:mi>β</c:mi> </c:mrow> <c:mrow> <c:mi>c</c:mi> </c:mrow> </c:msub> <c:mo>≤</c:mo> <c:mn>100</c:mn> </c:math> . Nusselt number is declined with the upgraded amounts of <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" id="M3"> <e:mn>0</e:mn> <e:mo>≤</e:mo> <e:msub> <e:mrow> <e:mi>N</e:mi> </e:mrow> <e:mrow> <e:mi>b</e:mi> </e:mrow> </e:msub> <e:mo>≤</e:mo> <e:mn>3</e:mn> </e:math> and <g:math xmlns:g="http://www.w3.org/1998/Math/MathML" id="M4"> <g:mn>0</g:mn> <g:mo>≤</g:mo> <g:msub> <g:mrow> <g:mi>N</g:mi> </g:mrow> <g:mrow> <g:mi>t</g:mi> </g:mrow> </g:msub> <g:mo>≤</g:mo> <g:mn>5</g:mn> </g:math> .