The flow of second grade fluid over a stretching sheet with variable thermal conductivity and viscosity in the presence of heat source/sink

This mathematical study is related to heat transfer under peristaltic flow of fractional second-grade fluid through nonuniform cylindrical tube with permeable walls. The analysis is performed under low Reynolds number and long wavelength approximation. The analytical solution for pressure gradient, friction force, and temperature field is obtained. The effects of appropriate parameters such as Grashof number, nonuniformity of tube, permeability of tube wall, heat source/sink parameter, material constant, fractional time derivative parameter and amplitude ratio on pressure rise, friction force, and temperature distribution are discussed. It is found that an increase in amplitude ratio and material constant causes increase in pressure but increase in nonuniformity of the tube causes decrease in pressure. It is also observed that variation of friction force against flow rate shows opposite behavior to that of pressure. Increase in temperature is also observed due to increase in heat source/sink parameter at inlet as well as downstream.

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Effects of Variable Thermal Conductivity and Heat Source / Sink on MHD Flow Near a Stagnation Point on a Linearly Stretching Sheet

Journal of Applied Fluid Mechanics ◽

10.36884/jafm.2.01.11851 ◽

2009 ◽

Vol 2 (01) ◽

Cited By ~ 2

Keyword(s):

Thermal Conductivity ◽

Heat Source ◽

Stagnation Point ◽

Stretching Sheet ◽

Mhd Flow ◽

Variable Thermal Conductivity ◽

Source Sink

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Energy transference in time‐dependent Cattaneo–Christov double diffusion of second‐grade fluid with variable thermal conductivity

Heat Transfer ◽

10.1002/htj.22274 ◽

2021 ◽

Author(s):

Ali Haider ◽

Assad Ayub ◽

Naeem Madassar ◽

Rao K. Ali ◽

Zulqurnain Sabir ◽

...

Keyword(s):

Thermal Conductivity ◽

Double Diffusion ◽

Variable Thermal Conductivity ◽

Time Dependent ◽

Second Grade ◽

Second Grade Fluid ◽

Grade Fluid

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Change in conductivity of magnetohydrodynamic Darcy–Forchheimer second-grade fluid flow due to variable thickness surface

Canadian Journal of Physics ◽

10.1139/cjp-2018-0205 ◽

2019 ◽

Vol 97 (8) ◽

pp. 809-815 ◽

Cited By ~ 2

Author(s):

A. Haider ◽

T. Salahuddin ◽

M.Y. Malik

Keyword(s):

Thermal Conductivity ◽

Fluid Flow ◽

Differential Equations ◽

Variable Thermal Conductivity ◽

Second Grade ◽

Physical Parameters ◽

Second Grade Fluid ◽

Inertia Coefficient ◽

Grade Fluid ◽

Energy And Momentum

The current investigation is communicated to analyze the characteristics of Darcy–Forchheimer second-grade fluid flow enclosed by a deformable sheet in the existence of both variable thermal conductivity and magnetohydrodynamics. The leading nonlinear energy and momentum partial differential equations are converted into nonlinear ordinary differential equations by utilizing suitable analogous approach. Then the acquired nonlinear problem is numerically calculated by utilizing BVP4C (built in) technique in MATLAB. The influence of certain appropriate physical parameters, namely wall thickness, second-grade fluid, Hartmann number, power index, porosity parameter, inertia coefficient, Prandtl number, and thermal conductivity, on temperature and velocity is studied and deliberated in detail. Numerical calculations of Nusselt number and skin friction for distinct estimations of appearing parameters are analysed through graphs and tables.

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