Space Shuttle heating analysis with variation in angle of attack and catalycity
Previously cited in issue 5, p. 586, Accession no. A83-16747
Gupta, R. N.↗
Engineering topics
Gupta, R. N.
Publications and source records attributed to Gupta, R. N..
Temperature-dependent reaction-rate expression for oxygen recombination at Shuttle entry conditions
A temperature-dependent oxygen surface reaction-rate coefficient has been determined from experimental STS-2 heating and wall temperature data at altitudes of 77.91 km, 74.98 km, and 71.29 km. The coefficient is presented in an Arrhenius form and is shown to be less temperature dependent than previous results. Finite-rate viscous-shock-layer heating rates based on this present expression have been compared with predicted heating rates using the previous rate coefficients and with experimental heating data obtained over an extensive range of STS-2 and STS-3 entry conditions. A substantial improvement is obtained in comparison of experimental data and predicted heating rates using the present oxygen reaction-rate expression.
Zoby, E. V.↗
Turbulence modeling of flowfields with massive surface ablation
Previously cited in issue 08, p. 1213, Accession no. A82-22064
Gupta, R. N.↗
Effect of low Reynolds number turbulence amplification on the Galileo probe flowfield
The amplification of turbulence at low Reynolds numbers is analyzed as it affects the Jupiter-entry flowfield, surface-heating rate, and mass-loss rate of the 335-kg Galileo probe now being designed. The constant k(2) in the Clauser-Klebanoff outer law of the two-layer algebraic eddy-viscosity model of Cebeci (1970), as used in earlier models of the Galileo flowfield (Moss and Simmonds, 1982), is modified to increase at low Reynolds numbers, as found experimentally by Varner and Adams (1980). Calculations were performed for peak heating conditions (at 49.13 sec of entry), using a turbulent Prandtl number of 0.9 and turbulent Lewis numbers (LeT) of 0.8, 1.0, and 1.2. The low-Reynolds-number effect is found to produce mass-loss-ratio increases of from 4 to 50 percent, while an LeT of 1.2 produced an increase of from 4 to 10 percent as compared to an LeT of 1.0. While these findings are based on experimental data obtained under conditions somewhat different from those probably present on Jupiter, their importance for a conservative probe design is stressed.
Gupta, R. N.↗
Viscous shock-layer flowfield analysis by an explicit-implicit method
The present work extends the recently reported implicit analogue of MacCormack's earlier widely-used explicit method to external axisymmetric laminar flows with strong entropy gradients. The details of the 'numerics' of the implicit part are provided in a body-oriented coordinate system with a moving outer (shock) boundary during the transient part of the solutions. The limiting values of the Courant number are obtained when the shock boundary is treated explicitly. The solution algorithm outlined includes the treatment of the source term associated with the equations in weak conservation form. From the results obtained for two sample problems, it becomes clear that accuracy of predictions is, indeed, very good at higher values of the Courant number. There is a significant saving in overall computing time, depending on the Courant number used and the flow Reynolds number. These properties combined with the simplicity of programming the implicit analogue may appeal to researchers for using it in the analysis of three-dimensional flow problems.
Gupta, R. N.↗
A comparative study of time-marching and space-marching numerical methods
Menees (1981) has conducted an evaluation of three different flowfield codes for the Jupiter entry conditions. However, a comparison of the codes has been made difficult by the fact that the three codes use different solution procedures, different computational mesh sizes, and a different convergence criterion. There are also other differences. For an objective evaluation of the different numerical solution methods employed by the codes, it would be desirable to select a simple no-blowing perfect-gas flowfield case for which the turbulent models are well established. The present investigation is concerned with the results of such a study. It is found that the choice of the numerical method is rather problem dependent. The time-marching and the space-marching method provide both comparable results if care is taken in selecting the appropriate mesh size near the body surface.
Gupta, R. N.↗
Space Shuttle heating analysis with variation in angle of attack and surface condition
The effects of variations in the angle of attack and surface catalycity condition on the Space Shuttle surface heating along the windward centerline are evaluated. Further, the time history of the nonequilibrium-to-equilibrium surface heating ratio and the boundary edge quantities are analyzed. Results show that a + or - 5% change in the angle of attack does not appreciably influence either the nonequilibrium heating or the nonequilibrium-to-equilibrium heat transfer ratio at higher (75 km) or lower (48 km) altitudes. The variation in the recombination rate parameter is found to affect the surface heating most at an altitude of about 75 km for the STS-2 flight. A maximum reduction of 49% in heating due to nonequilibrium chemistry is obtained at about a 75 km altitude in the nose region of the Orbiter for the STS-2 flight data. In addition, the nonequilibrium effects at the boundary layer edge are found to become less significant for altitudes less than 65 km even though the boundary layer flow may still be in nonquilibrium.
Gupta, R. N.↗
Hypersonic slender-wedge analysis with gradual change in angle of attack
The behavior of a narrow cross-section wedge wing moving at a high Mach number and subjected to an angle of attack changing exponentially with time is investigated. This type of wedge wing is commonly employed as a lifting surface in hypersonic vehicles. The time history of wall shear, heat transfer, displacement thickness, and viscous induced pressure are determined. Results show that for the same change in angle of attack, the flow attains the final steady state much faster when the change is exponential than when the change is made impulsively. In addition, the unsteady character of the flow is primarily confined to the initial stages of the change in the angle of attack.
Gupta, R. N.↗
An evaluation of turbulence models for massively blown surfaces
In this study, an evaluation of the various turbulence models for massively blown as well as unblown viscous shock layers has been made. The direct impact of the variations introduced through the different turbulent models has been evaluated by employing a single numerical code for the flow-field computations. The cases analyzed include flows with low and high Reynolds numbers and peaked and uniform surface injection rates. It is observed that with appropriate mixing-length formulation, and the use of an intermittency factor, most of the turbulence models considered predict comparable results for both blown and unblown surfaces.
Gupta, R. N.↗
Comparison of viscous-shock-layer solutions by time-asymptotic and steady-state methods
Two flow-field codes employing the time- and space-marching numerical techniques were evaluated. Both methods were used to analyze the flow field around a massively blown Jupiter entry probe under perfect-gas conditions. In order to obtain a direct point-by-point comparison, the computations were made by using identical grids and turbulence models. For the same degree of accuracy, the space-marching scheme takes much less time as compared to the time-marching method and would appear to provide accurate results for the problems with nonequilibrium chemistry, free from the effect of local differences in time on the final solution which is inherent in time-marching methods. With the time-marching method, however, the solutions are obtainable for the realistic entry probe shapes with massive or uniform surface blowing rates; whereas, with the space-marching technique, it is difficult to obtain converged solutions for such flow conditions. The choice of the numerical method is, therefore, problem dependent. Both methods give equally good results for the cases where results are compared with experimental data.
Gupta, R. N.↗
The coupled effects of chemistry and diffusion on the stratospheric zone reduction
The effect of diffusive-mixing on O3 depletion using the 5 step chemistry model is estimated.
Gupta, R. N.↗
The coupled effects of chemistry and diffusion on the stratospheric ozone reduction
The effect of diffusive-mixing on O3-depletion is estimated using the five-step chemistry model. The coupled treatment uses an equilibrium turbulence field and retains the key features of the kinetics while keeping the chemistry simple. Results indicate that those calculations of Hilst and Donaldson (1973) employing the conservation of NO2/NO will yield erroneous results, and it is found that any significant level of turbulence will reduce the severity of the NOx catalytic cycle for O3 destruction.
Gupta, R. N.↗
Theoretical study of reactive and nonreactive turbulent coaxial jets
The hydrodynamic properties and the reaction kinetics of axisymmetric coaxial turbulent jets having steady mean quantities are investigated. From the analysis, limited to free turbulent boundary layer mixing of such jets, it is found that the two-equation model of turbulence is adequate for most nonreactive flows. For the reactive flows, where an allowance must be made for second order correlations of concentration fluctuations in the finite rate chemistry for initially inhomogeneous mixture, an equation similar to the concentration fluctuation equation of a related model is suggested. For diffusion limited reactions, the eddy breakup model based on concentration fluctuations is found satisfactory and simple to use. The theoretical results obtained from these various models are compared with some of the available experimental data.
Gupta, R. N.↗
Some aspects of the ozone-depletion problem in the stratosphere
A preliminary investigation of O3 depletion by NOx in the exhaust of an SST wake is presented. Initial calculations were made using a model employing a two-step chemistry mechanism consisting of an NOx catalytic cycle and assuming total NOx and the ratio NO/NO2 to be conserved. The results indicate O3 depletion in the wake much less severe than reported in earlier investigations which used a much larger reaction rate constant. Subsequent investigation revealed, however, that even the current O3 depletion rates appear too large. Because of the apparent deficiencies in the two-step chemical model, a model is presented with a more realistic chemical mechanism without the requirement for NO conservation. Results indicate that total NOx and initial NO/NO2 ratio play an important role in determining O3 depletion. Furthermore, only in the case of rather extreme concentrations of water vapor or unrealistically large photolysis rates is there any significant conversion of NOx to HNO3.
Gupta, R. N.↗
Unified nonlinear approach to both weak and strong-interaction problems
The numerical results are obtained for heat transfer, skin-friction, and viscous interaction induced pressure for a step-wise accelerated flat plate in hypersonic flow. In the unified approach here the results are presented for both weak and strong-interaction problems without employing any linearization scheme. With the help of the numerical method used in this work an accurate prediction of wall shear can be made for the problems with plate velocity changes of 1% or larger. The obtained results indicate that the transient contribution to the induced pressure for helium is greater than that for air.
Gupta, R. N.↗
An eddy-viscosity treatment of the unsteady turbulent boundary layer on a flat plate in an expansion tube
An analysis is presented for the relaxation of a turbulent boundary layer on a semiinfinite flat plate after passage of a shock wave and a trailing driver gas-driven gas interface. The problem has special application to expansion tube flows. The flow-governing equations have been transformed into the Lamcrocco variables. The numerical results indicate that a fully turbulent boundary layer relaxes faster to the final steady-state values of heat transfer and skin-friction than a fully laminar boundary layer.
Gupta, R. N.↗
Nonlinear problem of a shock-tube interaction-region boundary layer.
Description of a numerical method that dispenses with the recourse to linearization or 'momentum-integral-correction' schemes in solving nonlinear problems of boundary layer flow in the interaction region of a shock tube or of similar singular parabolic problems of shock-induced unsteady boundary layers. The accuracy of the numerical results obtainable is shown to be satisfactory.
Gupta, R. N.↗
Relaxation of the accelerating-gas boundary layer to the test-gas boundary layer on a flat plate in an expansion tube
An analytic investigation of the relaxation of the accelerating-gas boundary layer to the test-gas boundary layer over a flat plate mounted in an expansion tube has been conducted. In this treatment, nitrogen has been considered as the test gas and helium as the accelerating gas. The problem is analyzed in two conically similar limits: (1) when the time lag between the arrival of the shock and the interface at the leading edge of the plate is very large, and (2) when this time lag is negligible. The transient laminar boundary-layer equations of a perfect binary-gas mixture are taken as the flow governing equations. These coupled equations have been solved numerically by Gauss-Seidel line-relaxation method. The results predict the transient behavior as well as the time required for an all-helium accelerating-gas boundary layer to relax to an all-nitrogen boundary layer.
Gupta, R. N.↗