The Effect of Navier Slip and Skin Friction on Nanofluid Flow in a Porous Pipe

Muyungi, Wivina; Mkwizu, Michael Hamza; Masanja, Verdiana Grace

doi:10.48084/etasr.4763

Cited by 4 publications

(1 citation statement)

References 21 publications

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“…The results establish that the growth in the radiation promotes heat diffusion, which causes the temperature to rise through the laminar boundary layer. Muyungi et al (2022) investigated how Navier's boundary condition and skin friction affected the movement of a nanofluid in a permeable pipe. They establish that the increasing Reynolds amount increases temperature and velocity.…”

Section: Introductionmentioning

confidence: 99%

Heat and mass transfer investigation of unsteady magnetohydro dynamic nanofluid flow in a porous pipe in the presence of chemical reactions

Feda,

Ahmada,

Reema

et al. 2023

J. Eng. Technol. Res.

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This article presents a numerical investigation of mass and heat transfer effects on an unsteadyMagnetohydrodynamic (MHD) nanofluid flow in a permeable pipe. The influences of the chemical reaction and magnetic flux are considered. With the central finite-difference technique, the fundamental equations are discretized. The resulting equations are solved numerically using methods of lines, bvp4, and shooting methods. The influences of material factors on the solution are investigated and displayed through tabular and graphical illustrations. The study revealed that the Sherwood number, skin friction, and rate of heat transfer are all decreased by an increase in the magnetic field.Additionally, the rate of rise of the chemical reaction and Brownian motion is observed to reduce the concentration of the nanofluid. Furthermore, the study finds that the Soret number, porosity medium resistance parameter, and thermophoresis parameter all cause the concentration profile to climb; while, increasing the pace of the chemical reaction and brown mobility leads the profile to decline.

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Section: Introductionmentioning

confidence: 99%

Heat and mass transfer investigation of unsteady magnetohydro dynamic nanofluid flow in a porous pipe in the presence of chemical reactions

Feda,

Ahmada,

Reema

et al. 2023

J. Eng. Technol. Res.

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Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs

Abdelhakem,

Abdelhamied,

El-kady

et al. 2023

J. Appl. Math. Comput.

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Herein, new orthogonal polynomials have been generated from shifted Chebyshev polynomials that fulfill a given set of homogeneous boundary conditions and the necessary formulae have been established. Moreover, an integer order derivative operational matrix has been introduced. Then, the presented novel polynomials are used together with the two spectral methods, namely, the Galerkin and Tau methods, as the basis functions. The convergence and error analyses were introduced and proved. Finally, some even-order boundary value problems (BVPs) have been approximated using the presented method.

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Finite Element Analysis of Laminar Natural Convection in a Differentially Heated Porous Cavity Using the Darcy–Brinkman Model

Farhat,

Kaid,

Alqahtani

et al. 2024

Processes

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This study delves into the convective heat transfer phenomena within a square cavity that houses a porous medium, analyzing the effects of Darcy (Da) and Rayleigh (Ra) numbers on the thermal and fluid dynamic behavior within the system. Utilizing a combination of computational fluid dynamics (CFD) and the finite element method (FEM), the research focuses on steady-state, laminar flow conditions in two dimensions. The cavity, which is impermeable at its boundaries, contains a centrally located square region filled with a porous, isotropic material. The thermal environment is controlled with insulated horizontal walls and vertically positioned walls that experience sinusoidal temperature variations. The study examines how variations in the permeability of the porous medium (Da numbers ranging from 10−1 to 10−4) and the buoyancy-driven flow strength (Ra numbers spanning from 102 to 105) influence the velocity fields and heat transfer rates, with results expressed through Nusselt number (Nu) distributions. The findings reveal that higher Ra numbers, particularly at 105, significantly intensify convection within the cavity, thereby boosting local rates of heat transfer, especially in the central vertical section. The research identifies that optimal flow resistance in the porous medium occurs within the Da number range of 10−3 to 10−4. These insights are critical for advancing thermal management techniques, particularly in the natural cooling of electronic devices and improving insulation methods.

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The Effect of Navier Slip and Skin Friction on Nanofluid Flow in a Porous Pipe

Cited by 4 publications

References 21 publications

Heat and mass transfer investigation of unsteady magnetohydro dynamic nanofluid flow in a porous pipe in the presence of chemical reactions

Heat and mass transfer investigation of unsteady magnetohydro dynamic nanofluid flow in a porous pipe in the presence of chemical reactions

Enhanced shifted Tchebyshev operational matrix of derivatives: two spectral algorithms for solving even-order BVPs

Finite Element Analysis of Laminar Natural Convection in a Differentially Heated Porous Cavity Using the Darcy–Brinkman Model

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