Investigation of Three-Dimensional Axisymmetric Unsteady Stagnation-Point Flow and Heat Transfer Impinging on an Accelerated Flat Plate

Abbasi, Ali Shokrgozar; Rahimi, Asghar; Mozayeni, Hamidreza

doi:10.18869/acadpub.jafm.68.224.24340

Cited by 6 publications

(5 citation statements)

References 26 publications

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“…For solving the algebraic system of equations, TDMA (Three Diagonal Matrix Algorithm) within ADI (Alternating Direction Implicit) method is used. In addition, the resulted velocities of momentum solution are used to obtain the exact solution of energy equation (Shokrgozar et al, 2016). However, this exact solution is not used to capture the fluid temperature in the computational domain at each time step.…”

Section: Numerical Heat Transfer Solutionmentioning

confidence: 99%

Three-Dimensional Axisymmetric Solidification of a Viscous Incompressible Flow in the Stagnation Point Region

Abbasi

2017

JAFM

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The history of the study of fluid solidification in stagnation flow is very limited. Among these studies, only one two-dimensional Cartesian coordinate case has considered fluid viscosity and pressure variation along the boundary layer. In the present paper, the solidification process of an incompressible viscous fluid in a threedimensional axisymmetric coordinate system is considered. The solidification is modeled by solving the momentum equations governing a problem in which a plate is moving toward an impinging fluid with a variable velocity and acceleration. The unsteady momentum equations are transformed to ordinary differential equations by using properly introduced similarity variable. Furthermore, pressure variations along the boundary layer thickness are taken into account. The energy equation is solved by numerical method as well as similarity solution. Interestingly, similarity solution of the energy equation is used for validation of the numerical solution. In this research, distributions of the fluid temperature, transient distributions of the velocity components and, most importantly, the solidification rate are presented for different values of nondimensional governing parameters including Prandtl number and Stefan number. A comparison is made between the solidification processes of axisymmetric three-dimensional and two-dimensional cases to justify the achieved results in a better way. The obtained results reveal that there is a difference between the final solid thickness, when the process has reached to its steady condition, of three-dimensional axisymmetric and two-dimensional cases. Also the results show that increase the Prandtl number up to 10 times or increase the heat diffusivity ratio up to 2 times lead to decrease the ultimate frozen thickness almost by half. While, the Stefan number has no effect on the value of thickness and its effect is captured only on the freezing time. Prediction the ultimate thickness of solid before obtaining solution and introducing a new method for validation of numerical results are achievements in this research.

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Section: Numerical Heat Transfer Solutionmentioning

confidence: 99%

Three-Dimensional Axisymmetric Solidification of a Viscous Incompressible Flow in the Stagnation Point Region

Abbasi

2017

JAFM

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“…The two-dimensional stagnation ow and heat transfer on an accelerated at plate was investigated by Shokrgozar and Rahimi [22]. Axisymmetric stagnation ow and heat transfer on an accelerated at plate was presented by Shokrgozar et al [23]. Stagnation-ow solidi cation of an inviscid uid that freezes at a common border was considered by Brattkus and Davis [24].…”

Section: Introductionmentioning

confidence: 99%

Vapor Solidification of Saturated Air in Two-Dimensional Stagnation Flow

Abbasi

Ghayeni

2018

Scientia Iranica

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This study aims to investigate the stagnation-ow solidi cation of vapor from saturated air. Saturated air with strain rate a impinges on a at plate and, thus, condensation occurs and an icy layer forms on the plate because the plate temperature is below the freezing temperature of water. The ice surface was modeled as an accelerated at plate that moves toward the impinging uid. The unsteady Navier-Stokes equations were subjected to a similarity transformation to obtain a single ordinary di erential equation for velocity distribution. Two methods of solution were used for the energy equation: a nitedi erence numerical technique and a numerical solution of a similarity equation. These two results were compared to determine the superior accuracy. First, freezing time increases as the far-eld temperature decreases from 0 C and, then, rapidly approaches zero as the fareld temperature approaches 0 C. Despite the expectation that condensation would begin at the substrate in a physical experiment, here, the size of the cell next to the substrate controls the time at which condensation begins. It was found that the maximum time before freezing began at an air temperature of about 5 C for 0.1 and 0.2 mm sizes. The ultimate frozen thickness for two saturated air temperatures was presented.

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“…Further it results in poor heat transfer coefficient due to mixing of jets before impinging on the target. Numerical simulation of three dimensional axisymmetric unsteady stagnation-point flow and heat transfer of a jet impinging on a flat plate which is moving towards the jet and away from the jet with varying velocity and acceleration has been carried out by Shokrgozar et al (2016). It is observed that the velocity of the plate is more influential on the velocity and thermal boundary layers than the acceleration of the plate.…”

Section: Introductionmentioning

confidence: 99%

Heat Transfer Analysis of Flat Plate Subjected to Multi-Jet Air Impingement using Principal Component Analysis and Computational Technique

Chandramohan¹,

Murugesan²,

Arivazhagan³

2017

JAFM

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Investigation of Three-Dimensional Axisymmetric Unsteady Stagnation-Point Flow and Heat Transfer Impinging on an Accelerated Flat Plate

Cited by 6 publications

References 26 publications

Three-Dimensional Axisymmetric Solidification of a Viscous Incompressible Flow in the Stagnation Point Region

Three-Dimensional Axisymmetric Solidification of a Viscous Incompressible Flow in the Stagnation Point Region

Vapor Solidification of Saturated Air in Two-Dimensional Stagnation Flow

Heat Transfer Analysis of Flat Plate Subjected to Multi-Jet Air Impingement using Principal Component Analysis and Computational Technique

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