Hydromagnetic Non-Newtonian Fluid Flow in a Convergent Conduit

Wawira, Njue Caroline; Kinyanjui, Mathew; Giterere, Kang’ethe

doi:10.1155/2022/8131528

Cited by 5 publications

(2 citation statements)

References 10 publications

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“…Te following similarity transformations obtained from other researchers [34][35][36][37] are used to convert the system of partial diferential equations into nondimensional ordinary diferential equations (ODEs):…”

Section: Mathematical Formulationmentioning

confidence: 99%

Effects of Thermal Radiation and Chemical Reaction on Hydromagnetic Fluid Flow in a Cylindrical Collapsible Tube with an Obstacle

Mwamba¹,

Abonyo

Awuor

2023

International Journal of Mathematics and Mathematical Sciences

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The aim of this research is to study the effects of thermal radiation and chemical reaction on hydromagnetic fluid flow in a cylindrical collapsible tube with an obstacle. The fluid flow is governed by continuity, momentum, energy, and concentration equations. Similarity transformation has been used to convert the obtained PDEs into ODEs. The collocation method has been used to numerically solve the ODEs. The method has been implemented in MATLAB using the bvp4c inbuilt function. The effects of the nondimensional parameters on velocity, temperature, and concentration have been presented graphically. Additionally, the skin-friction coefficient, the Nusselt number, and the Sherwood number have been discussed and are presented in a tabular form. The findings demonstrated that increasing the Reynolds number causes a rise in the fluid temperature and velocity. The fluid velocity decreases as the Hartmann number and the weight of the obstacle increase but increases with increasing Grashof numbers. The temperature of the fluid increases as the radiation parameter, or Eckert number, increases, but decreases as the Prandtl number increases. As the Soret number rises, so do the fluid’s temperature and concentration distribution. With an increase in the unsteadiness parameter, the fluid velocity and the concentration distribution decrease, whereas the opposite is seen in temperature. As the Schmidt number, the concentration Grashof number, and the chemical reaction parameter increase, the fluid’s concentration decreases. There is an increase in skin-friction coefficient with increasing Prandtl number, Eckert number, Soret number, thermal Grashof number, concentration Grashof number, thermal radiation parameter, Hartmann number, and unsteadiness parameter, while a decrease is observed with increasing Reynolds number. The Nusselt number increases with an increase in the Prandtl number, Eckert number, thermal radiation parameter, Hartmann number, and unsteadiness parameter. A slight decrease in the Nusselt number has been observed with increasing thermal Grashof number. The Sherwood number decreases with increasing Prandtl number, chemical reaction parameter, and thermal radiation parameter but increases with increasing Schmidt number, Eckert number, and Soret number. The research has the potential for a wide range of applications including but not limited to the medical field and other physical sciences.

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Section: Mathematical Formulationmentioning

confidence: 99%

Effects of Thermal Radiation and Chemical Reaction on Hydromagnetic Fluid Flow in a Cylindrical Collapsible Tube with an Obstacle

Mwamba¹,

Abonyo

Awuor

2023

International Journal of Mathematics and Mathematical Sciences

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“…The following non-dimensional transformation are used in the equation of continuity, equation of momentum, energy and concentration as used by ([21] [28] [29] and [30])…”

Section: ) Journal Of Applied Mathematics and Physicsmentioning

confidence: 99%

Magneto-Hydrodynamic Flow of an Incompressible Fluid in a Collapsible Elastic Tube with Mass and Heat Transfer

Kaigalula,

Okelo,

Mutua

et al. 2023

JAMP

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The aim of this study is to examine unsteady incompressible Magnetohydrodynamic fluid flow together with soret and dufour effects on mass and heat transfer through a collapsible elastic tube. The governing equations are continuity equation, momentum equation, energy equation and concentration equation. The velocity, temperature and concentration profiles together with heat and mass transfer rate were determined. The system of nonlinear partial differential equations governing the flow solved numerically by applying collocation method and implemented in MATLAB. The numerical solution of the profiles displayed both by graphically and numerically for different values of the physical parameters entering into the problem. The effects of varying various parameters such as Reynolds number, Hartmann number, Soret number, Dufour number and Prandtl number on velocity, temperature and concentration profiles also the rate of heat and mass transfer are discussed. The study is significant because heat and mass transfer mechanisms with the soret and dufour effects considerations play an important role due to its wide range of application including but not limited to medical fields, biological sciences and other physical sciences where collapsible tubes are applied.

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Squeezing hydromagnetic nanofluid flow between two parallel plates with joule heating effects and induced magnetic field

Wambui,

Kinyanjui,

Onyango

2024

International Journal of Ambient Energy

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Hydromagnetic Non-Newtonian Fluid Flow in a Convergent Conduit

Cited by 5 publications

References 10 publications

Effects of Thermal Radiation and Chemical Reaction on Hydromagnetic Fluid Flow in a Cylindrical Collapsible Tube with an Obstacle

Effects of Thermal Radiation and Chemical Reaction on Hydromagnetic Fluid Flow in a Cylindrical Collapsible Tube with an Obstacle

Magneto-Hydrodynamic Flow of an Incompressible Fluid in a Collapsible Elastic Tube with Mass and Heat Transfer

Squeezing hydromagnetic nanofluid flow between two parallel plates with joule heating effects and induced magnetic field

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