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 β and modified Hartmann number M increases by positively increasing the values of both parameters for F η , while ω decreases with increasing the values of ω for F η . The graph of β shows upward behavior for distinct values for both G η and G ′ η for velocity portray. Prandtl number and β for the temperature profile of θ η and θ 1 η goes downward with increasing parameters.

Highlights

  • En, these equations of motion are intercepted by mathematical techniques such as the bvp4c method in Maple and Matlab. e graphical and tabular representation of different parameters is given

  • Findings. e behavior of β and modified Hartmann number M increases by positively increasing the values of both parameters for F(η), while ω decreases with increasing the values of ω for F(η). e graph of β shows upward behavior for distinct values for both G(η) and G′(η) for velocity portray

  • E flows of magnetohydrodynamic electrical conducting fluids have apprehended the notice of scientists and researchers as they have numeral utilizations in industrial and engineering fields. e skin friction and heat transfer coefficient have higher results for turbulent flow as compared to laminar flow; any numerical technique that can be employed to enhance the stability of laminar flow is worth investigating

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Summary

Problem Statement

Consider the unsteady incompressible flow model for non-Newtonian Casson fluid with the Riga plate. E unsteadiness in the fluid has been induced by the timedependent flow. In the rectangular coordinate system, u and v are velocity components along x- and y-axis. E plate vacillating in its own plan and the flow of the nanofluid distract obliquely on it. E fluid is in the upper half of the plane y ≥ 0. E stress tensor for the given flow field is defined as.

Fixed Frame of Reference for the Fluid Flow Model
Graphical Discussion
Concluding Remarks
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