Author: Paul A. Libby
Publisher:
ISBN:
Category :
Languages : en
Pages : 44
Book Description
Method for Calculation of Compressible Laminar Boundary Layer with Pressure Gradient and Heat Transfer
Method for Calculation of Compressible Laminar Boundary Layer with Axial Pressure Gradient and Heat Transfer
Author: Paul A. Libby
Publisher:
ISBN:
Category : Air flow
Languages : en
Pages : 44
Book Description
A rapid and sufficiently accurate method, for most practical purposes, of determining laminar-boundary-layer characteristics in flow with a given free-stream Mach number and given velocity distribution at the edge of the boundary layer is presented. The method can be easily applied to flow with zero pressure gradient for any (constant) Prandtl number of the number unity and any given temperature distribution along the wall. Numerical examples are given to illustrate the method and the satisfactory accuracy obtained. For flow in an axial pressure gradient, the method can be applied for a Prandtl number of unity and any given uniform wall temperature. The methods developed here are based on an application of the Karman integral method to both the momentum and energy equations, in conjunction with a sixth-degree velocity profile and a seventh-degree stagnation-enthalpy profile. A single boundary-layer thickness and one of the coefficients in the thermal profile are the parameters in this two-parameter method.
Publisher:
ISBN:
Category : Air flow
Languages : en
Pages : 44
Book Description
A rapid and sufficiently accurate method, for most practical purposes, of determining laminar-boundary-layer characteristics in flow with a given free-stream Mach number and given velocity distribution at the edge of the boundary layer is presented. The method can be easily applied to flow with zero pressure gradient for any (constant) Prandtl number of the number unity and any given temperature distribution along the wall. Numerical examples are given to illustrate the method and the satisfactory accuracy obtained. For flow in an axial pressure gradient, the method can be applied for a Prandtl number of unity and any given uniform wall temperature. The methods developed here are based on an application of the Karman integral method to both the momentum and energy equations, in conjunction with a sixth-degree velocity profile and a seventh-degree stagnation-enthalpy profile. A single boundary-layer thickness and one of the coefficients in the thermal profile are the parameters in this two-parameter method.
The Solution of Compressible Laminar Boundary Layer Problems by a Finite Difference Method
Author: Donald Charles Baxter
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 620
Book Description
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 620
Book Description
Method for Predicting Compressible Turbulent Boundary Layers in Adverse Pressure Gradients
Author: Shimer Zane Pinckney
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 68
Book Description
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 68
Book Description
The Compressible Laminar Boundary Layer with Heat Transfer and Arbitrary Pressure Gradient
Author: Clarence B. Cohen
Publisher:
ISBN:
Category : Laminar boundary layer
Languages : en
Pages : 43
Book Description
WIth the resulting relations, methods are derived for the calculation of the tw-dimensional and axially symmetric laminar boundary layer with an arbitrary free-stream velocity distribution, Mach number, and surface temperature.
Publisher:
ISBN:
Category : Laminar boundary layer
Languages : en
Pages : 43
Book Description
WIth the resulting relations, methods are derived for the calculation of the tw-dimensional and axially symmetric laminar boundary layer with an arbitrary free-stream velocity distribution, Mach number, and surface temperature.
Method for Calculation of Compressible Laminar Boundary-layer Characteristics in Axial Pressure Gradient with Zero Heat Transfer
Author: Morris Morduchow
Publisher:
ISBN:
Category : Laminar boundary layer
Languages : en
Pages : 43
Book Description
The Karman-Pohlhausen method is extended primarily to sixth-degree velocity profiles for determining the characteristics of the compressible laminar boundary layer over an adiabatic wall in the presence of an axial pressure gradient. It is assumed that the Prandtl number is unity and that the coefficient of viscosity varies linearly with the temperature. A general approximate solution which permits a rapid determination of the boundary layer characteristics for any given free-stream Mach number and given velocity distribution at the outer edge of the boundary layer is obtained. Numerical examples indicated that this solution will practice lead to results of satisfactory accuracy, including the critical Reynolds number for stability. For the special purpose of calculating the location of the separation point in an adverse pressure gradient, a short and simple method, based on the use of a seventh-degree velocity profile, is derived. The numerical example given here indicates that this method should in practice lead to sufficiently accurate results. For the special case of flow near a forward stagnation point it is shown that the Karman-Pohlhausen method with the usual fourth-degree profiles leads to results of adequate accuracy, even for the critical Reynolds number.
Publisher:
ISBN:
Category : Laminar boundary layer
Languages : en
Pages : 43
Book Description
The Karman-Pohlhausen method is extended primarily to sixth-degree velocity profiles for determining the characteristics of the compressible laminar boundary layer over an adiabatic wall in the presence of an axial pressure gradient. It is assumed that the Prandtl number is unity and that the coefficient of viscosity varies linearly with the temperature. A general approximate solution which permits a rapid determination of the boundary layer characteristics for any given free-stream Mach number and given velocity distribution at the outer edge of the boundary layer is obtained. Numerical examples indicated that this solution will practice lead to results of satisfactory accuracy, including the critical Reynolds number for stability. For the special purpose of calculating the location of the separation point in an adverse pressure gradient, a short and simple method, based on the use of a seventh-degree velocity profile, is derived. The numerical example given here indicates that this method should in practice lead to sufficiently accurate results. For the special case of flow near a forward stagnation point it is shown that the Karman-Pohlhausen method with the usual fourth-degree profiles leads to results of adequate accuracy, even for the critical Reynolds number.
Solution of Compressible Laminar Boundary Layer Problems by a Finite Difference Method, Pt.2: Further Discussion of the Method and Computation of Examples
Author: Stanford University. Division of Engineering Mechanics
Publisher:
ISBN:
Category :
Languages : en
Pages : 284
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 284
Book Description
The Effect of Pressure Gradient on the Average Convective Heat Transfer Coefficient for a Two-dimensional Laminar Compressible Boundary Layer on a Flat Plate
Author: Charles Pinto Howard
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 240
Book Description
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 240
Book Description
Calculation of Compressible, Nonadiabatic Boundary Layers in Laminar, Transitional and Turbulent Flow by the Method of Integral Relations
Author: Gary D. Kuhn
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 140
Book Description
Publisher:
ISBN:
Category : Boundary layer
Languages : en
Pages : 140
Book Description
Calculation of Compressible Turbulent Boundary Layers with Pressure Gradients and Heat Transfer
Author: Larry L. Lynes
Publisher:
ISBN:
Category : Air flow
Languages : en
Pages : 146
Book Description
Publisher:
ISBN:
Category : Air flow
Languages : en
Pages : 146
Book Description