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Abstract
The paper presents a numerical flowfield visualization over a typical payload shroud of a satellite launch vehicle at Mach number range of 0.80 -3.0 and Reynolds number range of 33 x 106 - 46 x 106 /m. The numerical simulation over the bulbous heat shield is carried out by solving time-dependent compressible axisymmetric turbulent Reynolds-averaged NavierStokes equations. The closure of these equations is obtained employing the Baldwin-Lomax turbulence model. A three-stage Runge-Kutta time-stepping scheme has been used in conjunction with finite-volume discretization of the computational domain. The flowfield features over the bulbous heat shield have been analyzed from the velocity vector and the density contour plots. Flow separation on the payload shroud due to the normal shock wave is observed at Mach number 0.80 and 0.90. The normal shock movement on the heat shield is simulated for various transonic Mach number. A recirculation zone of flowfield is formed in the boat-tail region of the heat shield. The vorticity formation ahead of the heat shield moves close to the heat shield with the increasing transonic Mach number, which is observed in the density contours plots of the flowfield. Shock stand-off distance at the supersonic speed is calculated and compared with asymptotic formula of Frank and Zierep. They are found in good agreement.
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References
- Bogdonoff, S., "Some Experimental Studies of the Separation of Supersonic Turbulent Boundary Layers", Heat Transfer and Fluid Mechanics Institute, University of California, Los Angeles, June, 955, pp.1-23.
- Ericsson, L. E. and Reding, J. P., "Analysis of Flow Separation Effects on the Dynamics of a Large Space Booster", Journal of Spacecraft and Rockets, Vol. 2, 1965, pp.481-490.
- Ericsson, L. E., "Steady and Unsteady Terminal Shock Aerodynamics on Cone-cylinder Bodies", NASA CR 61560, October, 1967.
- Rainey, A. G., "Progress on the Launch Vehicle Buffeting Problem", Journal of Spacecraft and Rockets, Vol. 2, 1965, pp. 289-299.
- Coe, C. F. and Nute J. B., "Steady and Fluctuating Pressures at Transonic Speeds on Hammer Head Launch Vehicles", NASA TM X-778, 1962.
- Ahmed, S. and Selvarajan, S., "Investigation of Flow on a Hammer Head Nose Configuration at Transonic Speeds", AIAA paper 91-1711, 1991.
- Deese, J. E., Gielda, T. P., Agarwal, R. K. and Pavish, D.L., "Prediction of Flow Separation of Launch Vehicle Configuration", AIAA paper 91-1727, June 1991.
- Baldwin, B. S. and Lomax, H., "Thin Layer Approximation and Algebraic Model for Separated Turbulent Flow", AIAA paper 78-257, January, 1978.
- Purohit, S. C., "A Navier-Stokes Solution for Bulbous Payload Shroud", Journal of Spacecraft and Rockets, Vol. 23, No. 6, 1986, pp. 590-596.
- Mehta, R. C., "Flowfield Over Bulbous Heat Shield in Transonic and Supersonic Speeds", Journal of Spacecraft and Rockets, Vol.35, No.1, 1998, pp.102105.
- Owens, R. V., "Aerodynamic Characteristics of Spherically Blunted Cones at Mach Numbers from 0.5 to 5.0", NASA TN-D 3088, December, 1965.
- Peyret, R. and Viviand, H., "Computational Methods for Fluids Flow", Springer-Verlag, New York, 1963, pp.109-111.
- Jameson, A., Schmidt, W. and Turkel, E., "Numerical Solution of Euler Equations by Finite Volume Method Using Runge-Kutta Time-stepping Scheme", AIAA Paper 81-1259, June, 1981.
- Mehta, R. C., "Wall Pressure Fluctuations Over a Bulbous Heat Shield of a Satellite Launch Vehicle",
- Acta Mechanica, Vol. 137, 1999, pp.13-31.
- Mehta, R. C., "Block Structured Finite Element Grid Generation Method", Paper Accepted for publication in the Computational Fluid Dynamics Journal, 2011.
- Shang, J. S., "Numerical Simulation of Wing-fuselage Interference", AIAA Paper 81-0084, January,
- MacCormack, R. W., "Numerical Methods for Compressible Flow", Workshop-cum-Seminar on Computational Fluid Dynamics held at Vikram Sarabhai Space Centre, Trivandrum, India, December 14-21,
- Frank, W. and Zierep, J., "Schallnahe U .. berschallastro ..mung um rotationssymmetrische Ko ..rper",
- Acta Mechanica, Vol. 19, 1974, pp. 277-287.
References
Bogdonoff, S., "Some Experimental Studies of the Separation of Supersonic Turbulent Boundary Layers", Heat Transfer and Fluid Mechanics Institute, University of California, Los Angeles, June, 955, pp.1-23.
Ericsson, L. E. and Reding, J. P., "Analysis of Flow Separation Effects on the Dynamics of a Large Space Booster", Journal of Spacecraft and Rockets, Vol. 2, 1965, pp.481-490.
Ericsson, L. E., "Steady and Unsteady Terminal Shock Aerodynamics on Cone-cylinder Bodies", NASA CR 61560, October, 1967.
Rainey, A. G., "Progress on the Launch Vehicle Buffeting Problem", Journal of Spacecraft and Rockets, Vol. 2, 1965, pp. 289-299.
Coe, C. F. and Nute J. B., "Steady and Fluctuating Pressures at Transonic Speeds on Hammer Head Launch Vehicles", NASA TM X-778, 1962.
Ahmed, S. and Selvarajan, S., "Investigation of Flow on a Hammer Head Nose Configuration at Transonic Speeds", AIAA paper 91-1711, 1991.
Deese, J. E., Gielda, T. P., Agarwal, R. K. and Pavish, D.L., "Prediction of Flow Separation of Launch Vehicle Configuration", AIAA paper 91-1727, June 1991.
Baldwin, B. S. and Lomax, H., "Thin Layer Approximation and Algebraic Model for Separated Turbulent Flow", AIAA paper 78-257, January, 1978.
Purohit, S. C., "A Navier-Stokes Solution for Bulbous Payload Shroud", Journal of Spacecraft and Rockets, Vol. 23, No. 6, 1986, pp. 590-596.
Mehta, R. C., "Flowfield Over Bulbous Heat Shield in Transonic and Supersonic Speeds", Journal of Spacecraft and Rockets, Vol.35, No.1, 1998, pp.102105.
Owens, R. V., "Aerodynamic Characteristics of Spherically Blunted Cones at Mach Numbers from 0.5 to 5.0", NASA TN-D 3088, December, 1965.
Peyret, R. and Viviand, H., "Computational Methods for Fluids Flow", Springer-Verlag, New York, 1963, pp.109-111.
Jameson, A., Schmidt, W. and Turkel, E., "Numerical Solution of Euler Equations by Finite Volume Method Using Runge-Kutta Time-stepping Scheme", AIAA Paper 81-1259, June, 1981.
Mehta, R. C., "Wall Pressure Fluctuations Over a Bulbous Heat Shield of a Satellite Launch Vehicle",
Acta Mechanica, Vol. 137, 1999, pp.13-31.
Mehta, R. C., "Block Structured Finite Element Grid Generation Method", Paper Accepted for publication in the Computational Fluid Dynamics Journal, 2011.
Shang, J. S., "Numerical Simulation of Wing-fuselage Interference", AIAA Paper 81-0084, January,
MacCormack, R. W., "Numerical Methods for Compressible Flow", Workshop-cum-Seminar on Computational Fluid Dynamics held at Vikram Sarabhai Space Centre, Trivandrum, India, December 14-21,
Frank, W. and Zierep, J., "Schallnahe U .. berschallastro ..mung um rotationssymmetrische Ko ..rper",
Acta Mechanica, Vol. 19, 1974, pp. 277-287.