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Second-Order Slip and Thermal Jump Effects on MHD Flow of Nano-second Grade Fluid Flow Over a Stretching Sheet

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Advances in Fluid Dynamics

Part of the book series: Lecture Notes in Mechanical Engineering ((LNME))

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Abstract

The present examination is for the most part centered on the flow of a magnetohydrodynamic nano-second grade fluid over a stretching sheet implementing the second-order slip and thermal jump model. To analyze the problem elaborately, numerical simulations are carried out. For that, the partial differential equations that were employed to characterize the flow were transformed to ordinary differential equations with the aid of similarity transformations. Solving them with the much known Runge–Kutta strategy in association with shooting iteration technique, the outcomes for the nano-second grade fluid velocity, temperature, concentration, the local skin friction coefficient, the local Nusselt number and the local Sherwood number are discussed. Some of the notable results of second grade, thermophoresis and Brownian motion parameters along with Lewis number are brought out, which might be relevant for future research work.

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Abbreviations

\(B_{0}\) :

Applied magnetic field

\(C_{p}\) :

Specific heat capacity

f :

Dimensionless velocity

\(\text{Re}_{x}\) :

Reynold’s number

\(U_{w} ,V_{w}\) :

Stretching velocities

u, v:

Velocity components

x, y:

Axial directions

ν :

Kinematic viscosity

α :

Second grade parameter

η :

Similarity variable

ρ :

Fluid density

σ :

Electrical conductivity

\({\Lambda}_{1} , {\Lambda}_{2}\) :

First-order and second-order velocity slip

\({\Omega}_{1}, {\Omega}_{2}\) :

First-order and second-order temperature jump

θ :

Dimensionless temperature

ϕ :

Dimensionless concentration

′:

Differentiation w.r.t η

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Correspondence to A. K. Abdul Hakeem .

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Ragupathi, P., Saranya, S., Abdul Hakeem, A.K. (2021). Second-Order Slip and Thermal Jump Effects on MHD Flow of Nano-second Grade Fluid Flow Over a Stretching Sheet. In: Rushi Kumar, B., Sivaraj, R., Prakash, J. (eds) Advances in Fluid Dynamics. Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-15-4308-1_35

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  • DOI: https://doi.org/10.1007/978-981-15-4308-1_35

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-15-4307-4

  • Online ISBN: 978-981-15-4308-1

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