Flow of a Newtonian fluid in a symmetrically heated channel: Effect of viscosity and viscous dissipation

Adegbie, K. S.; Alao, Felix Ilesanmi

doi:10.1155/mpe/2006/29314

Cited by 5 publications

(5 citation statements)

References 8 publications

(6 reference statements)

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“…While a numerical study on a pressure driven non-isothermal flow was done by Pinarbasi and Imal [6] with a discovery that for a certain range of flow the pressure gradient is monotonic. Adegbie and Alao [7] solved numerically the problem of viscous steady flow in a heated channel so as to investigate the impact of viscosity and viscous dissipation resulting to high rate of flow and discovered that the solution is zero when the viscous heating parameter is zero. Sahu et al [8] numerically examined a coupled energy and convective-diffusive pressure-driven non-isothermal miscible displacement flow in a viscous heating horizontal channel.…”

Section: Introductionmentioning

confidence: 99%

Effects of Viscosity and Magnetic Field on a Non-Isothermal Cylindrical Channel Flow

Ize

Nwaigwe

Amos

2023

JAMCS

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This study examines the effect of viscosity and magnetic field on a non-isothermal cylindrical channel flow. This work considered a model of convective-thermal-diffusion with constant viscosity and magnetic field. The governing model equations are nondimensionalized using the dimensionless quantities and then solved analytically using power series method of Frobenius type so as to tackle the singularity in the model equations. Furthermore, the analytical solutions are displayed via graphs to show the effects of the flow parameters on the flow velocity, temperature and concentration profiles. The graphical results show that increase in viscosity, magnetic field and solutal Grashof number parameters retard the fluid flow. While increase in thermal Grashof number enhances the flow velocity. Thermal conductivity and solute injection parameters increase the fluid temperature and concentration respectively while the cooling and diffusive parameters decrease the fluid temperature and concentration respectively. Further studies can be carried out for a multi-directional flow as against the unidirectional flow and in a vertical channel in place of horizontal channel as studied in this paper.

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Section: Introductionmentioning

confidence: 99%

Effects of Viscosity and Magnetic Field on a Non-Isothermal Cylindrical Channel Flow

Ize

Nwaigwe

Amos

2023

JAMCS

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“…magma flows (e.g. Costa & Macedonio 2003;Costa et al 2007) and in conduits generally (Adegbie & Alao 2006). In principle, viscosity can also vary with pressure.…”

Section: Introductionmentioning

confidence: 99%

Laminar pipe flow with time-dependent viscosity

Vardy

Brown

2010

Journal of Hydroinformatics

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A general solution is obtained for laminar flow in axisymmetric pipes, allowing for prescribed timedependent viscosity and time-dependent pressure gradients. In both cases, the only restriction on the prescribed time dependence is that it must vary continuously; it is not necessary for rates of change to be continuous. The general solution is obtained using the Finite Hankel Transform method. This makes it possible to allow explicitly for time-dependent viscosity, but it does not permit the spatial dependence of viscosity. This contrasts with Laplace transforms, which allow spatial, but not general, temporal variations. The general solution is used to study a selection of particular flows chosen to illustrate distinct forms of physical behaviour and to demonstrate the ease with which solutions are obtained. The methodology is also applied to the simple case of constant (Newtonian) viscosity. In this case, it yields the same solutions as previously published methods, but it does so in a much simpler manner.

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“…The analytical solutions are contrasted with the finite difference solutions given in Massoudi and Christie [10] . Recently, Adegbie and Alao [11] studies steady-state flow of Newtonian viscous liquid with exponential temperature-dependent viscosity and substantial viscous heat generation in a symmetrically heated channel. The coupled non-linear momentum and energy equations arising in planar Poiseuille flow are solved numerically using finite difference scheme techniques.…”

Section: Introductionmentioning

confidence: 99%

Flow of Temperature-dependent Viscous Fluid Between Parallel Heated Walls: Exact Analytical Solutions in the Presence of Viscous Dissipation

Adegbie¹,

Alao

2007

J. of Mathematics and Statistics

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Abstract:We examine steady incompressible flow of viscous liquids between parallel heated walls of plane Couette device. The temperature of the upper and lower walls of the device are maintained at T = T b and T = T 0 respectively. Of a particular interest are exact analytical solutions of the coupled nonlinear differential equations resulting from plane Couette flow obtained for the temperature and velocity distributions respectively. The criterion for which the solutions are valid was determined by the temperature difference, α, between the upper and lower walls. The analysis reveals that the shear stress obtained at the walls exists when the temperature difference α > 0.

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Flow of a Newtonian fluid in a symmetrically heated channel: Effect of viscosity and viscous dissipation

Cited by 5 publications

References 8 publications

Effects of Viscosity and Magnetic Field on a Non-Isothermal Cylindrical Channel Flow

Effects of Viscosity and Magnetic Field on a Non-Isothermal Cylindrical Channel Flow

Laminar pipe flow with time-dependent viscosity

Flow of Temperature-dependent Viscous Fluid Between Parallel Heated Walls: Exact Analytical Solutions in the Presence of Viscous Dissipation

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