Perfect gas navier-stokes solutions hypersonic boundary layer and compression corner flows

Aziz, Şaduman
The purpose of this thesis is to perform numerical solutions of hypersonic, high temperature, perfect gas flows over various geometries. Three dimensional, thin layer, compressible, Navier-Stokes equations are solved. An upwind finite difference approach with Lower Upper-Alternating Direction Implicit (LU-ADI) decomposition is used. Solutions of laminar, hypersonic, high temperature, perfect gas flows over flat plate and compression corners (qw=5°, 10°, 14°, 15°, 16°, 18° and 24°) with eight different free-stream and wall conditions are presented and discussed. During the analysis, air viscosity is calculated from the Sutherland formula up to 1000°K, for the temperature range between 1000 ðK and 5000 ðK a curve fit to the estimations of Svehla is applied. The effects of Tw/T0 on heat transfer rates, surface pressure distributions and boundary layer characteristics are studied. The effects of corner angle (?w) on strong shock wave/boundary layer interactions with extended separated regions are investigated. The obtained results are compared with the available experimental data, computational results, and theory.


Ünlü, Kahraman; BIGGAR, JW; MORKOC, F (Wiley, 1990-11-01)
The knowledge of the statistical parameters of the variance, sigma-2, and the correlation scale, lambda, characterizing the spatial structures of the log of the saturated hydraulic conductivity, lnK(s), pore size distribution parameter alpha, and the specific water capacity, C, is required in stochastic modeling in order to understand the overall response of large-scale heterogenous unsaturated flow systems. These parameters are estimated assuming second-order stationarity and an exponential semivariogram ...
Uncertainty quantification of transient unsaturated seepage through embankment dams
Çalamak, Melih; Yanmaz, Ali Melih (American Society of Civil Engineers (ASCE), 2017-06-01)
Sensitivity analysis is conducted to investigate the effects of uncertainty in hydraulic conductivity and van Genuchten parameters on transient seepage. To this end, a random number generator is used to generate random values from probability distributions of each parameter. The generator is coupled with finite-element software that handles seepage analysis in porous media. The Monte Carlo simulation approach is adopted for stochastic seepage analyses. The suggested method is applied on a homogeneous dam ma...
The effect of conceptual change approach on students' understanding of solubility equilibrium concepts
Önder, İsmail; Geban, Ömer; Department of Secondary Science and Mathematics Education (2006)
The main purpose of this study was to compare the effectiveness of instructions one based on conceptual change approach and the other based on traditional chemistry instruction on tenth grade high school students’ understanding of solubility equilibrium concept. In addition, students’ attitudes toward chemistry as a school subject and toward conceptual change texts were investigated. Moreover, students’ science process skills were also investigated. 125 tenth grade students from four classes of a chemistry ...
Periodic stationarity conditions for periodic autoregressive moving average processes as eigenvalue problems
Ula, TA; Smadi, AA (American Geophysical Union (AGU), 1997-08-01)
The determination of periodic stationarity conditions for periodic autoregressive moving average (PARMA) processes is a prerequisite to their analysis. Means of obtaining these conditions in analytically simple forms are sought. It is shown that periodic stationarity conditions for univariate and multivariate PARMA processes can always be reduced to eigenvalue problems, which are computationally and analytically easier to deal with. Two different lumpings of the periodic process are considered along this li...
Simulation of dissolution of silicon in an indium solution by spectral methods
Coskun, AU; Yener, Y; Arinc, F (IOP Publishing, 2002-09-01)
The results of a numerical simulation of natural convection due to concentration gradients during dissolution of silicon in an indium solution in a horizontal substrate-solution-substrate system are presented. The Chebyshev-Tau spectral method has been used for the simulations. The results are in very good agreement with the experimental data available in the literature. It is concluded that the discrepancies in the dissolution depths between the previous simulations and experimental data, especially at the...
Citation Formats
Ş. Aziz, “Perfect gas navier-stokes solutions hypersonic boundary layer and compression corner flows,” Ph.D. - Doctoral Program, Middle East Technical University, 2005.