Effect of Thermal Radiation on Flow, Heat, and Mass Transfer of a Nanofluid Over a Stretching Horizontal Cylinder Embedded in a Porous Medium With Suction/Injection

Elbashbeshy, E. M. A.; Emam, Tarek G.; El–Azab, M. S.; Abdelgaber, Khaled M.

doi:10.1615/jpormedia.v18.i3.30

Cited by 11 publications

(7 citation statements)

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“…The system of equations (15)(16)(17)(18)(19) subjected to the initial conditions (20) are solved by fourth/fifth order Runge-Kutta method in combination with shooting method as used and explained by Elbashbeshy et al [27].…”

Section: Numerical Solutionmentioning

confidence: 99%

Unsteady Flow of Micropolar Maxwell Fluid Over Stretching Surface

Elbashbeshya

Abdelgaber

Asker

2018

Journal of the Egyptian Mathematical Society

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The unsteady flow of Maxwell fluid over a stretching surface is investigated in this paper numerically. The governing partial differential equations are transformed into a nonlinear ordinary differential equations by using a similarity transformation. The numerical results are guaranteed in comparison with the previous under special assumptions. The effects of elasticity number and material parameter on velocity and micro-rotation profiles are presented and discussed in aid of tables and graphs.

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Section: Numerical Solutionmentioning

confidence: 99%

Unsteady Flow of Micropolar Maxwell Fluid Over Stretching Surface

Elbashbeshya

Abdelgaber

Asker

2018

Journal of the Egyptian Mathematical Society

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“…They used homotopy analysis method (HAM) method to find the analytical solution to the problem for the infinite temporal domain and found that the velocity and thermal boundary layers are highly influenced by the surface transverse curvature parameter. Elbashbeshy et al [15] presented a study to describe the effects of heat source or sink with suction\injection in a laminar boundary layer flow due to a stretching cylinder immersed in a porous medium. Rangi and Ahmed [16] worked on a laminar boundary layer flow and heat transfer along with a stretching cylinder by considering the variable thermal conductivity.…”

Section: Introductionmentioning

confidence: 99%

Heat transfer phenomenon in a retarded boundary layer over a moving continuous cylinder

Mehmood

Shah²

2023

J. Phys. A: Math. Theor.

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Boundary layer flows induced due to retarded motion of the continuous surfaces ultimately seize at some subsequent downstream location which is equivalent to the phenomenon of flow separation on a surface of finite length, thus leading to increased drag on the aero-dynamical vehicles. The literature has established that the boundary layer formed over a moving continuous surface is more energetic than that formed on a stationary surface of finite length. This implies that for the sustainability of the transport phenomenon in such a retarded flow, which has to ultimately meet the flow separation, a moving continuous surface is preferable to a stationary surface of finite length. Therefore, this study intends to perform heat transfer analysis in a retarded laminar boundary layer formed due to a moving continuous cylinder of constant radius. Wall temperature of uniform nature is considered in this investigation. In the majority of the boundary layer flows the self-similarity of the flow does not persist because of choosing the reference velocity of the desired character. Thus, the problem becomes non-similar in nature. In general, the non-similarity of a flow may appear due to various aspects of the problem such as the retarded nature of the reference velocity, the surface temperature, the curvature of the body, etc. Surface transverse curvature imparts favorable consequences on the separating boundary layer and hence on the seizing flow character. Therefore, this study focuses on investigating the impact of surface transverse curvature (TVC) k and the wall velocity power index m on temperature profiles, rate of heat transfer at the surface Nux(local Nusselt number), the thermal layer thickness, and the thermal diffusivity of heat in a retarded boundary layer. In addition to this, the influence of Prandtl number Pr and Stanton number St has also been investigated.

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“…An adaptive step size is implemented based on the error estimated between the solutions of the two successive orders. Elbashbeshy et al [25,26] used this method in flow and heat transfer problems of fluid/nanofluid over different stretching surfaces and found that it is accurate by comparing it with methods used to solve the same problems. This paper aims to present simple numerical methods to capture the behaviour of single piles under lateral working loads.…”

Section: Introductionmentioning

confidence: 99%

Numerical Analysis of Laterally Loaded Long Piles in Cohesionless Soil

Abd-Elhamed¹,

Fathy²,

Abdelgaber³

2022

Computers, Materials &Amp; Continua

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The capability of piles to withstand horizontal loads is a major design issue. The current research work aims to investigate numerically the responses of laterally loaded piles at working load employing the concept of a beam-on-Winkler-foundation model. The governing differential equation for a laterally loaded pile on elastic subgrade is derived. Based on Legendre-Galerkin method and Runge-Kutta formulas of order four and five, the flexural equation of long piles embedded in homogeneous sandy soils with modulus of subgrade reaction linearly variable with depth is solved for both free-and fixed-headed piles. Mathematica, as one of the world's leading computational software, was employed for the implementation of solutions. The proposed numerical techniques provide the responses for the entire pile length under the applied lateral load. The utilized numerical approaches are validated against experimental and analytical results of previously published works showing a more accurate estimation of the response of laterally loaded piles. Therefore, the proposed approaches can maintain both mathematical simplicity and comparable accuracy with the experimental results.

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Effect of Thermal Radiation on Flow, Heat, and Mass Transfer of a Nanofluid Over a Stretching Horizontal Cylinder Embedded in a Porous Medium With Suction/Injection

Cited by 11 publications

References 0 publications

Unsteady Flow of Micropolar Maxwell Fluid Over Stretching Surface

Unsteady Flow of Micropolar Maxwell Fluid Over Stretching Surface

Heat transfer phenomenon in a retarded boundary layer over a moving continuous cylinder

Numerical Analysis of Laterally Loaded Long Piles in Cohesionless Soil

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