Heat Transfer in the Laminar Boundary Layer Over an Impulsively Started Flat Plate

Watkins, C. B.

doi:10.1115/1.3450409

Cited by 39 publications

(16 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The motion within the boundary layer that arises when a semi-infinite flat plate is impulsively started from rest with velocity U was investigated by Stewartson (1951). The boundary layer flow development of a viscous fluid on a semi-infinite flat plate due to impulsive motion of the free stream has been further investigated in Dennis (1972) and Watkins (1975). Williams and Rhyne (1980) argued extensively that the viscous flow within the boundary layer develops slowly, reaching a fully develop steady flow only after some period of time.…”

Section: Introductionmentioning

confidence: 99%

Unsteady Boundary Layer Flow over a Vertical Surface due to Impulsive and Buoyancy in the Presence of Thermal-Diffusion and Diffusion-Thermo using Bivariate Spectral Relaxation Method

Motsa

Animasaun

2016

JAFM

View full text Add to dashboard Cite

In this article, unsteady boundary layer flow formed over a vertical surface due to impulsive motion and buoyancy is investigated. The mathematical model which properly accounts for space and temperature-dependent internal heat source in a flowing fluid is incorporated into the energy equation. This model is presented in this study as a term which accounts for two different forms of internal heat generation during the short time period and long time period. Due to the fluid flow under consideration, the influence of thermal-diffusion and diffusion-thermo are incorporated into the governing equation since it may not be realistic to assume that both effects are of smaller order of magnitude than the effects described by Fourier's or Fick's law. The corresponding effect of internal heat source on viscosity is considered; the viscosity is assumed to vary as a linear function of temperature. The flow model is described in terms of a highly coupled and nonlinear system of partial differential equations. The governing equations are non-dimensionalized by using suitable similarity transformation which unraveled the behavior of the fluid flow at short time and long time periods. The dimensionless system of non-linear coupled partial differential equations (PDEs) is solved using Bivariate Spectral Relaxation Method (BSRM). A parametric study of selected parameters is conducted and results of the surface shear stress, heat transfer and mass transfer at the wall are illustrated graphically and physical aspects of the problem are discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

Unsteady Boundary Layer Flow over a Vertical Surface due to Impulsive and Buoyancy in the Presence of Thermal-Diffusion and Diffusion-Thermo using Bivariate Spectral Relaxation Method

Motsa

Animasaun

2016

JAFM

View full text Add to dashboard Cite

show abstract

“…The boundary layer¯ow development on a semi-in®nitē at plate due to an impulsive motion was studied by Stewartson [10,11], Hall [12] and Watkins [13]. The corresponding problem on a wedge was investigated by Smith [14], Nanbu [15] and Williams and Rhyne [16].…”

Section: Introductionmentioning

confidence: 99%

Unsteady laminar MHD flow and heat transfer in the stagnation region of an impulsively spinning and translating sphere in the presence of buoyancy forces

Takhar

Chamkha

Nath

2001

Heat and Mass Transfer

View full text Add to dashboard Cite

An analysis has been carried out to determine the development of momentum and heat transfer occurring in the laminar boundary layer of an incompressible viscous electrically conducting¯uid in the stagnation region of a rotating sphere caused by the impulsive motion of the free stream velocity and the angular velocity of the sphere. At the same time the wall temperature is also suddenly increased. This analysis includes both short and long-time solutions. The partial differential equations governing the¯ow are solved numerically using an implicit ®nite-difference scheme. There is a smooth transition from the short-time solution to the long-time solution. The surface shear stresses in the longitudinal and rotating directions and the heat transfer are found to increase with time, magnetic ®eld, buoyancy parameter and the rotation parameter. IntroductionThe study of¯ow and heat transfer on rotating bodies of revolution in a forced¯ow is useful in several engineering applications such as projectile motion, re-entry missile design of rotating machinery, ®bre coating etc. The¯ow and (or) heat transfer on a rotating sphere in a uniform ow stream with its axis of rotation parallel to the free stream velocity have been studied by a number of investigators [1±5]. These studies deal with steady¯ows. Ece [6] has investigated the initial boundary layer¯ow past an impulsively started translating and spinning body of revolution. Recently, Ozturk and Ece [7] have considered the analogous heat transfer problem. The effect of buoyancy forces on the steady forced convection¯ow over a rotating sphere was studied by Rajasekaran and Palekar [8]. The corresponding unsteady case was considered by Hatzikonstantinou [9], where the unsteadiness was introduced by the time dependent free stream velocity.When the unsteadiness in the¯ow ®eld is caused by the impulsive motion of the body in an otherwise ambient uid, the inviscid¯ow over the body is developed instantaneously. The¯ow within the viscous layer is developed slowly and it becomes fully developed steady-statē ow after a lapse of certain time. For small time, the¯ow is dominated by the viscous force and the unsteady acceleration and is generally independent of the conditions far upstream and at the leading edge or at the stagnation point. For large time the¯ow is dominated by the viscous force, pressure gradient and convective acceleration. The in¯uence of the conditions at the leading edge or at the stagnation point plays an important role during this phase. For small time, the mathematical problem is of the Rayleigh type and for large time it is of the Falkner±Skan type.The boundary layer¯ow development on a semi-in®nitē at plate due to an impulsive motion was studied by Stewartson [10,11], Hall [12] and Watkins [13]. The corresponding problem on a wedge was investigated by Smith [14], Nanbu [15] and Williams and Rhyne [16].In the present paper, we have studied the unsteady laminar incompressible boundary layer¯ow and heat transfer of an electrically conducting¯uid in the forward stag...

show abstract

“…The unsteady mixed convection flow in the stagnation region of a heated vertical plate due to impulsive motion has been studied by Schadri et al [17]. The boundary layer flow development of a viscous fluid on a semi-infinite flat plate due to impulsive motion of the free stream have been investigated by Hall [5], Dennis [3] and Watkins [22]. The corresponding problem over a wedge has been studied by Simth [18], Nanbu [11] and Williams & Rhyne [23].…”

Section: Introductionmentioning

confidence: 99%

Unsteady Mixed Convection Flow in the Stagnation Region of a Heated Vertical Plate Embedded in a Variable Porosity Medium with Thermal Dispersion Effects

Al-Harbi¹,

Hassanien²

2011

Developments in Heat Transfer

View full text Add to dashboard Cite

Heat Transfer in the Laminar Boundary Layer Over an Impulsively Started Flat Plate

Cited by 39 publications

References 0 publications

Unsteady Boundary Layer Flow over a Vertical Surface due to Impulsive and Buoyancy in the Presence of Thermal-Diffusion and Diffusion-Thermo using Bivariate Spectral Relaxation Method

Unsteady Boundary Layer Flow over a Vertical Surface due to Impulsive and Buoyancy in the Presence of Thermal-Diffusion and Diffusion-Thermo using Bivariate Spectral Relaxation Method

Unsteady laminar MHD flow and heat transfer in the stagnation region of an impulsively spinning and translating sphere in the presence of buoyancy forces

Unsteady Mixed Convection Flow in the Stagnation Region of a Heated Vertical Plate Embedded in a Variable Porosity Medium with Thermal Dispersion Effects

Contact Info

Product

Resources

About