Nonviscous Oblique Stagnation Point Flow towards Riga Plate
Sobia Akbar, Azad Hussain
Abstract
Purpose. The flow of nonviscous Casson fluid is examined in this study over an oscillating surface. The model of the fluid flow has been inspected in the presence of oblique stagnation point flow. The scrutiny is subsumed for the Riga plate by considering the effects of magnetohydrodynamics. The Riga plate is considered as an electromagnetic lever which carries eternal magnets and a stretching line up of alternating electrodes coupled on a plane surface. We have considered nonboundary layer two-dimensional incompressible flow of the fluid. The fluid flow model is analyzed in the fixed frame of reference. Motivation. The motivation of achieving more suitable results has always been a quest of life for scientists; the capability of determining the boundary layer of flow on aircraft which either stays laminar or turns turbulent has encouraged the researcher to study compressible flow in depth. The compressible fluid with boundary layer flow has been utilized by numerous researchers to reduce skin friction and enhance thermal and convectional heat exchange. Design/Approach/Methodology. The attained partial differential equations will be critically inspected by using suitable similarity transformation to transform these flows thrived equations into higher nonlinear ordinary differential equations (ODE). Then, these equations of motion are intercepted by mathematical techniques such as the bvp4c method in Maple and Matlab. The graphical and tabular representation of different parameters is also given. Findings. The behavior of <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" id="M1"> <a:mi>β</a:mi> </a:math> and modified Hartmann number <c:math xmlns:c="http://www.w3.org/1998/Math/MathML" id="M2"> <c:mi>M</c:mi> </c:math> increases by positively increasing the values of both parameters for <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" id="M3"> <e:mi>F</e:mi> <e:mfenced open="(" close=")" separators="|"> <e:mrow> <e:mi>η</e:mi> </e:mrow> </e:mfenced> </e:math> , while <j:math xmlns:j="http://www.w3.org/1998/Math/MathML" id="M4"> <j:mi>ω</j:mi> </j:math> decreases with increasing the values of <l:math xmlns:l="http://www.w3.org/1998/Math/MathML" id="M5"> <l:mi>ω</l:mi> </l:math> for <n:math xmlns:n="http://www.w3.org/1998/Math/MathML" id="M6"> <n:mi>F</n:mi> <n:mfenced open="(" close=")" separators="|"> <n:mrow> <n:mi>η</n:mi> </n:mrow> </n:mfenced> </n:math> . The graph of <s:math xmlns:s="http://www.w3.org/1998/Math/MathML" id="M7"> <s:mi>β</s:mi> </s:math> shows upward behavior for distinct values for both <u:math xmlns:u="http://www.w3.org/1998/Math/MathML" id="M8"> <u:mi>G</u:mi> <u:mfenced open="(" close=")" separators="|"> <u:mrow> <u:mi>η</u:mi> </u:mrow> </u:mfenced> </u:math> and <z:math xmlns:z="http://www.w3.org/1998/Math/MathML" id="M9"> <z:msup> <z:mrow> <z:mi>G</z:mi> </z:mrow> <z:mrow> <z:mo>′</z:mo> </z:mrow> </z:msup> <z:mfenced open="(" close=")" separators="|"> <z:mrow> <z:mi>η</z:mi> </z:mrow> </z:mfenced> </z:math> for velocity portray. Prandtl number and <eb:math xmlns:eb="http://www.w3.org/1998/Math/MathML" id="M10"> <eb:mi>β</eb:mi> </eb:math> for the temperature profile of <gb:math xmlns:gb="http://www.w3.org/1998/Math/MathML" id="M11"> <gb:mi>θ</gb:mi> <gb:mfenced open="(" close=")" separators="|"> <gb:mrow> <gb:mi>η</gb:mi> </gb:mrow> </gb:mfenced> </gb:math> and <lb:math xmlns:lb="http://www.w3.org/1998/Math/MathML" id="M12"> <lb:msub> <lb:mrow> <lb:mi>θ</lb:mi> </lb:mrow> <lb:mrow> <lb:mn>1</lb:mn> </lb:mrow> </lb:msub> <lb:mfenced open="(" close=")" separators="|"> <lb:mrow> <lb:mi>η</lb:mi> </lb:mrow> </lb:mfenced> </lb:math> goes downward with increasing parameters.