A New Finite Element Technique For Recirculating Flow

Over the years a number of computational codes have been developed for calculations of fluid flow behavior. Most of the computational codes are two-dimensional with more and more codes appearing for three-dimensional flow analysis. Almost all of the major fluid dynamic codes are based on finite difference algorithms, with most of these being operated on main frame or mini computer systems. In this research effort a PC based computational code written in ’C’ is developed, using a time-split finite element technique based on the Galerkin method using a chapeau basis function. The computational code is applied to the problem of recirculating flow with and without heat convection. In comparison to other published results it was found that this method was as accurate with a reduction in computational cost

A Drbem Solution For Incompressible Viscous Flows And Heat Transfer

The Dual Reciprocitv Boundam Element Method (DRBEM) is used.to solve incompressible laminar viscous fluid flows and heat transfer. The DRBEM is extended to develop a pressure correction scheme to solve the incompressible Navier-Stokes equations. The velocity field is then used as input to the DRBEM solution of the energy transport equation, thereby retaining the boundary only discretization feature of the BEM for the solution of this problem. Numerical results for the proposed DRBEM solution for laminar flow and heat transfer in a channel are obtained for several Reynolds numbers and compare well with previously published data

Coupled Finite Volume And Boundary Element Analysis Of Conjugate Heat Transfer Problems

A coupled analysis tool has been developed for solving the transient conjugate problem of heat transfer over and conduction heat transfer within a solid body. The solid body may be a turbine blade, thrust vector control vane, nozzle/combustor wall, etc. A finite volume transient Navier-Stokes solver is used to resolve the high speed turbulent compressible fluid flow body. The flow solver is capable of resolving turbulent flows using a mixing length model. The temperature field within the body is resolved by numerically solving the non-linear heat diffusion equation using a boundary element method. The boundary discretization utilized for generation of the external flow computational grid provides the boundary discretization required for the boundary element method. Thus a solution is obtained for the conjugate heat transfer problem. Numerical results have thus far shown very good agreement obtained with analytical and experimental data. An experimental effort is currently being completed to further verify the developed design tool

A Pressure Correction Drbem Solution For Incompressible Laminar Viscous Flows

The Dual Reciprocity Boundary Element Method (DRBEM) is used to solve incompressible laminar viscous fluid flows. Previously, the authors applied the DRBEM to solve a modified nonlinear Burgers equation. In this paper, the DRBEM is extended to develop a full pressure correction scheme to solve the incompressible Navier-Stokes equations. Numerical results for the DRBEM solution of viscous laminar flow in a channel are obtained for several Reynolds numbers and compare favorably with previously published data

Pressure correction DRBEM solution for heat transfer and fluid flow in incompressible viscous fluids

The Dual Reciprocity Boundary Element Method (DRBEM) is used to solve incompressible laminar viscous fluid flows and heat transfer. The DRBEM is extended to develop a pressure correction scheme to solve the incompressible Navier-Stokes equations. The velocity field is then used as input to the DRBEM solution of the energy transport equation, thereby retaining the boundary only discretization feature of the BEM for the solution of this problem. Numerical results for the proposed DRBEM solution for laminar flow and heat transfer in a channel are obtained for several Reynolds numbers and compare well with previously published data. © 1997 Elsevier Science Ltd

User Friendly Analysis Code For Conjugate Heat Transfer Problems

Use of computational methods in the design of aircraft and turbomachinery have resulted in increased performance, a reduced need for experimentation, and an increased efficiency in the design process. To make further strides in these areas, further advances in computational methods are instrumental. These advances not only need to be made in the computational code themselves, but also are needed in how the user interacts with the code. Currently, a novel and efficient method has been developed to couple a compressible Navier-Stokes finite volume solver with a boundary element method code to solve the transient non-linear conjugate heat transfer problem. This approach exhibits two important and attractive features. First, a single computational grid is employed to simultaneously resolve the fluid flow and heat transfer external to a solid body and the heat transfer within the solid body (Conjugate Problem). Second, the method eliminates the use of convective heat transfer coefficients. This approach is in sharp contrast with current practice in which the two problems are solved separately with the solution of the external flow field providing film coefficients for the internal heat transfer calculations. Along with this code an interactive graphical user interface has been developed so that the engineer can begin obtaining solutions with a very small learning curve involved. In this paper a brief description of the computational code is presented with primary emphasis on the user interface

Jet Vane Thrust Vector Control: A Design Effort

A jet vane is a type of device used for thrust vectoring of missiles and is located in the aft region of missile rocket nozzles. The solid rocket motors that use this TVC device can have an aluminum content of up to 18% by weight. Because of this, solid aluminum particles are present in the rocket motor gas stream. In order for the jet vane to function properly, it must be designed to survive the thermal and erosive environment of this gas stream, A jet vane design optimization using flow, thermal, and materials technology was performed in order to improve the jet vane. The intent is to evolve a methodology that can be used to develop a jet vane that is lighter in weight and/or smaller in size than the current configuration. A reliable and easy-to-use design procedure was sought to optimize the jet vane configuration. A combined analytical and experimental effort was undertaken in the process

Computational code for conjugate heat transfer problems: An experimental validation effort

A coupled finite volume/boundary element method was previously developed to solve the transient conjugate problem of convective heat transfer over and conduction heat transfer within a solid body. In this approach, the flowfield and forced convection heat transfer external to the body is resolved by numerically solving the time dependent Navier-Stokes equations using a finite volume method, while the temperature field within the body is resolved by numerically solving the heat conduction equation using a boundary element method. The boundary discretization utilized to generate the computational grid for the external flowfield provides the boundary discretization required for the boundary element method. Coupling of the to fields is accomplished by enforcing interface continuity of heat flux and temperature. Transient heat transfer data needed to verify the code was obtained in a series of experiments reported herein. Details of the experimental setup and test conditions are provided. Numerical results have thus far shown very good agreement with obtained experimental data

Coupled Dual Reciprocity Boundary Element/Finite Volume Method For Transient Conjugate Heat Transfer

A coupled finite volume/dual reciprocity boundary element method is developed to solve the transient conjugate heat transfer problem of convective heat transfer over and conduction heat transfer within a solid body. In this approach, the flowfield and forced convection heat transfer external to the body is resolved by numerically solving the time-dependent Navier-Stokes equations using a finite volume method, whereas the temperature field within the body is resolved by numerically solving the heat conduction equation using a dual reciprocity boundary element method. The boundary discretization utilized to generate the computational grid for the external flowfield provides the boundary discretization required for the boundary element method. Coupling of the two fields is accomplished by enforcing interface continuity of heat flux and temperature. Transient heat transfer data needed to verify the code were obtained in a series of experiments that are reported. Details of the experimental setup and test conditions are provided. Numerical simulations of the experiments show good agreement with obtained experimental data