scholarly journals Heat Transfer Analysis and Magnetohydrodynamics Effect on Peristaltic Transport of Ree–Eyring Fluid in Rotating Frame

2021 ◽  
pp. 2714-2725
Author(s):  
Batool A. Almusawi ◽  
Ahmed M. Abdulhadi
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Flow Rate ◽  
Amplitude Ratio ◽  
Peristaltic Transport ◽  
Heat Transfer Analysis ◽  
Rotating Frame ◽  
Governing Equations ◽  
Source Sink

This paper discusses Ree–Eyring fluid’s peristaltic transport in a rotating frame and examines the impacts of Magnetohydrodynamics (MHD). The results deal with  systematically (analytically) applying each of the governing equations of Ree–Eyring fluid, the axial and secondary velocities, flow rate due to auxiliary stream, and bolus. The effects of some distinctive variables, such as Hartman number, heat source/sink, and amplitude ratio, are taken under consideration and illustrated through graphs.

scholarly journals Mathematical Analysis on Heat Transfer during Peristaltic Pumping of Fractional Second-Grade Fluid through a Nonuniform Permeable Tube

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Siddharth Shankar Bhatt ◽  
Amit Medhavi ◽  
R. S. Gupta
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Friction Force ◽  
Amplitude Ratio ◽  
Time Derivative ◽  
Material Constant ◽  
Second Grade ◽  
Second Grade Fluid ◽  
Grade Fluid ◽  
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.

Importance of convective heat transfer in flow of non-Newtonian nanofluid featuring Brownian and thermophoretic diffusions

2019 ◽  
Vol 29 (12) ◽  
pp. 4624-4641 ◽  
Author(s):  
Waqar Azeem Khan ◽  
Mehboob Ali ◽  
Muhammad Waqas ◽  
M. Shahzad ◽  
F. Sultan ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Convective Heat Transfer ◽  
Design Methodology ◽  
Numerical Solutions ◽  
Pressure Profile ◽  
Boundary Region ◽  
Heat Transfer Analysis ◽  
Content Type ◽  
Source Sink

Purpose This paper aims to address the flow of Sisko nanofluid by an unsteady curved surface. Non-uniform heat source/sink is considered for heat transfer analysis. Design/methodology/approach Numerical solutions are constructed using bvp4c procedure. Findings Pressure profile inside boundary region is increased when A and K are enhanced. Originality/value No such analysis is yet presented.

Heat transfer analysis on peristaltic transport of Ree-Eyring fluid in rotating frame

2017 ◽  
Vol 55 (5) ◽  
pp. 1894-1907 ◽  
Author(s):  
T. Hayat ◽  
H. Zahir ◽  
A. Alsaedi ◽  
B. Ahmad
Keyword(s):  
Heat Transfer ◽  
Peristaltic Transport ◽  
Heat Transfer Analysis ◽  
Rotating Frame

scholarly journals Heat Transfer Analysis on Peristaltic Transport of a Jeffery Fluid in an Inclined Elastic Tube with Porous Walls

2020 ◽  
Vol 7 (1) ◽  
Author(s):  
G. Manjunatha ◽  
C. Rajashekhar ◽  
Hanumesh Vaidya ◽  
K. V. Prasad
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Flow Rate ◽  
Biot Number ◽  
Velocity Slip ◽  
Elastic Tube ◽  
Peristaltic Transport ◽  
Heat Transfer Analysis ◽  
Velocity Flow ◽  
Porous Walls

This article analyses the effects of heat transfer and thermal conductivity on the peristaltic transport of Jeffery fluid through an inclined elastic tube with porous walls. The velocity slip and convective boundary conditions are taken into account. The modeled governing equations are solved analytically by considering the long wavelength and small Reynolds number approximations. The closed-form solutions are obtained for velocity, flow rate, and the theoretical determination of flow rate is calculated with the help of equilibrium condition given by Rubinow and Keller. A parametric analysis has been presented to study the effects of Jeffery parameter, thermal conductivity, Darcy number, the angle of inclination, velocity slip, Biot number, amplitude ratio, Prandtl number, and Eckert number on velocity, flow rate, and temperature are scrutinized. The streamlines show that the bolus moves with the same speed as that of the wave and further the study reveals that an increase in the Biot number reduces the magnitude of the temperature.

The effect of heat transfer on the nonlinear peristaltic transport of a Jeffrey fluid through a finite vertical porous channel

2016 ◽  
Vol 09 (02) ◽  
pp. 1650023 ◽  
Author(s):  
K. Vajravelu ◽  
S. Sreenadh ◽  
P. Lakshminarayana ◽  
G. Sucharitha
Keyword(s):  
Heat Transfer ◽  
Pressure Rise ◽  
Peristaltic Transport ◽  
Porous Channel ◽  
Jeffrey Fluid ◽  
Physical Parameters ◽  
Brinkman Model ◽  
Governing Equations ◽  
Permeability Parameter ◽  
Source Sink

In this paper we analyze the influence of free convection on nonlinear peristaltic transport of a Jeffrey fluid in a finite vertical porous stratum using the Brinkman model. Heat is generated within the fluid by both viscous and Darcy dissipations. The coupled nonlinear governing equations are solved analytically. The expressions for the temperature, the axial velocity, the local wall shear stress and the pressure gradient are obtained. The effects of various physical parameters such as the Jeffrey parameter [Formula: see text], the permeability parameter [Formula: see text] and the heat source/sink parameter [Formula: see text] are analyzed through graphs, and the results are discussed in detail. It is observed that the velocity field increases with increasing values of the Jeffrey parameter but it decreases with increasing values of the permeability parameter. It is found that the pressure rise increases with decreasing Jeffrey parameter and increasing permeability parameter. We notice that the effect of the permeability parameter [Formula: see text] is the strongest on the bolus trapping phenomenon. For [Formula: see text] [Formula: see text] the results of the present study reduce to the results of Tripathi [Math. Comput. Modelling 57 (2013) 1270–1283]. Further the effect of viscous and Darcy dissipations is to reduce the rate of heat transfer in the finite vertical porous channel under peristalsis.

scholarly journals Simultaneous impacts of Joule heating and variable heat source/sink on MHD 3D flow of Carreau-nanoliquids with temperature dependent viscosity

2019 ◽  
Vol 8 (1) ◽  
pp. 356-367 ◽  
Author(s):  
J. V. Ramana Reddy ◽  
V. Sugunamma ◽  
N. Sandeep
Keyword(s):  
Heat Transfer ◽  
Heat Source ◽  
Joule Heating ◽  
Uniform Space ◽  
Weissenberg Number ◽  
Physical Parameters ◽  
Temperature Dependent ◽  
3D Flow ◽  
Temperature Dependent Viscosity ◽  
Source Sink

Abstract The 3D flow of non-Newtonian nanoliquid flows past a bidirectional stretching sheet with heat transfer is investigated in the present study. It is assumed that viscosity of the liquid varies with temperature. Carreau non-Newtonain model, Tiwari and Das nanofluid model are used to formulate the problem. The impacts of Joule heating, nonlinear radiation and non-uniform (space and temperature dependent) heat source/sink are accounted. Al-Cu-CH3OH and Cu-CH3OH are considered as nanoliquids for the present study. The solution of the problem is attained by the application of shooting and R.K. numerical procedures. Graphical and tabular illustrations are incorporated with a view of understanding the influence of various physical parameters on the flow field. We eyed that using of Al-Cu alloy nanoparticles in the carrier liquid leads to superior heat transfer ability instead of using only Aluminum nanoparticles. Weissenberg number and viscosity parameter have inclination to exalt the thermal field.

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