Unsteady Oscillatory Couette Flow between Vertical Parallel Plates with Constant Radiative Heat Flux

Bunonyo, Kubugha Wilcox; Amos, Emeka; Eli, I. C.

doi:10.9734/arjom/2018/44702

Cited by 8 publications

(7 citation statements)

References 14 publications

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“…We consider that the thermal energy affects the fluid momentum through absorption, hence follow the energy equation in Bunonyo et al [21], which is:…”

Section: B Energy Equationmentioning

confidence: 99%

A Low Prandtl Number Haemodynamic Oscillatory Flow through a Cylindrical Channel using the Power Series Method

Bunonyo

Ebiwareme

2022

EJPHYSICS

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This article details the use of the power series method to solve a haemodynamics problem in a cylindrical channel with a low Prandtl number. The process involves modifying the Navier-Stokes momentum equation and energy equation with radiation absorption to represent flow through a cylindrical channel; the governing models are made dimensionless with the help of some dimensionless quantities; and the flow is subjected to no-slip boundary conditions. It is true that the flow through biological vessels is thought to be oscillatory due to the pulsatile nature of the heart. The solutions were thought to be associated with an oscillatory frequency term. The dimensionless models were perturbed using the oscillatory term, and the partial differential equations were reduced to ordinary differential equations. Wolfram Mathematica, version 12, was used to code the analytical solutions, which included biophysical parameters such as the Prandtl number, oscillatory frequency parameter, Hartmann number, radiation absorption parameters, and dimensionless wall temperature. It was discovered that changes in biophysical parameters caused changes in both the velocity and temperature profiles, which is extremely important for scientists and clinicians. It is recommended that we pay attention to some of the parameters mentioned above in order to achieve the best results when studying blood flow through a vessel.

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“…We consider that the thermal energy affects the fluid momentum through absorption, hence follow the energy equation in Bunonyo et al [21], which is:…”

Section: B Energy Equationmentioning

confidence: 99%

A Low Prandtl Number Haemodynamic Oscillatory Flow through a Cylindrical Channel using the Power Series Method

Bunonyo

Ebiwareme

2022

EJPHYSICS

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“…Indications from their findings depicts that rate of fluid motion suppresses as temperature and concentration elevates. Studies abound on the influence of thermal radiation on fluid flows and the results obtained have been significant, (Raptis et al, 2004), (Mabood et al, 2017), (Devi and Reddy, 2014), (Bunonyo et al, 2018) and (Omamoke et al, 2020) just to mention but a few. However, influence of radiation, viscosity on MHD non-steady natural flow past a partially sieve-like material was analyzed by (Joaquin, 2007).…”

Section: Introductionmentioning

confidence: 99%

Chemical Reaction and Thermal Radiation Effects on Magnetohydrodynamic Nanofluid Flow Past an Exponentially Stretching Sheet

Uka¹,

Amos²,

Nwaigwe³

2022

Theoretical Mathematics &Amp; Applications

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This study investigates chemical reaction and thermal radiation effects on hydromagnetic nanofluid flow over an exponentially stretching sheet. The governing partial differential equations were transformed to ordinary differential equations by using similarity transformation and the resulting equations were solved using asymptotic series method. Graphical results showing the influence of the governing parameters on the velocity, temperature and concentration are displayed. Our results indicated that an increase in stretching sheet, thermal Grashof parameters leads to the increase in the rate of fluid flow while it decreases when magnetic field factor is increased. Also, increasing the thermophoresis number brings about increase in temperature and concentration while the reverse is the case as Prandtl number, Schmidt factor and chemical reaction rate increases. Increase in radiation leads to increase in the temperature. Keywords: Thermophoresis, Stretching sheet, MHD (Magnetohydrodynamic), thermal Radiation, Chemical reaction, Nanofluid.

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“…The unsteady oscillatory Couette flow between vertical parallel plates with constant radiative heat flux was investigated in [14]. In this study, the mathematically formulated governing equations were simplified using dimensionless variables and coupled ordinary differential equations (ODEs) were obtained.…”

Section: Introductionmentioning

confidence: 99%

Investigations of Couette Flow Unsteady Radiative Convective Heat Transfer in a Vertical Channel Using the Generalized Method of Lines (MOL)

Sowayan

2022

International Journal of Applied Mechanics and Engineering

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This study describes a very efficient and fast numerical solution method for the non-steady free convection flow with radiation of a viscous fluid between two infinite vertical parallel walls. The method of lines (MOL) is used together with the Runge-Kutta ODE Matlab solver to investigate this problem numerically. The presence of radiation adds more stiffness and numerical complexity to the problem. A complete derivation in dimensionless form of the governing equations for momentum and energy is also included. A constant heat flux condition is applied at the left wall and a transient numerical solution is obtained for different values of the radiation parameter (R). The results are presented for dimensionless velocity, dimensionless temperature and Nusselt number for different values of the Prandtl number (Pr), Grashof number (Gr), and the radiation parameter (R). As expected, the results show that the convection heat transfer is high when the Nusselt number is high and the radiation parameter is low. It is also shown that the solution method used is simple and efficient and could be easily adopted to solve more complex problems.

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Unsteady Oscillatory Couette Flow between Vertical Parallel Plates with Constant Radiative Heat Flux

Cited by 8 publications

References 14 publications

A Low Prandtl Number Haemodynamic Oscillatory Flow through a Cylindrical Channel using the Power Series Method

A Low Prandtl Number Haemodynamic Oscillatory Flow through a Cylindrical Channel using the Power Series Method

Chemical Reaction and Thermal Radiation Effects on Magnetohydrodynamic Nanofluid Flow Past an Exponentially Stretching Sheet

Investigations of Couette Flow Unsteady Radiative Convective Heat Transfer in a Vertical Channel Using the Generalized Method of Lines (MOL)

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