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Publications
Dr. Marvin E. Goldstein
- “Momentum and Heat Transfer in Laminar Flow of Gas with Liquid-Droplet Suspension Over a Circular Cylinder,” with W. Yang and J. Clark, Transactions of ASME Journal of Heat Transfer, Vol. 89, No. 2, May 1967.
- “Boundary Layer Analysis of Two-Phase (Gas with Liquid-Drop Suspension) Flow Over an Oscillating Flat Plate,” with W. Yang and J. Clark, AIAA Journal, Vol. 5, No. 1 Jan. 1967.
- “A New Formulation of the Multi-component Laminar-Boundary Layer Problem” Physics of Fluids, Vol. 10, No. 4, April 1967.
- “On the Shape of a Magnetically Balanced Arc,” with J. Fay, AIAA Journal, Vol. 5, No. 8, August 1967.
- “On the Ionized Laminar Boundary Layer Equations,” with R. Tabazynski, “Physics of Fluids, Vol. 10, No. 11, November 1967.
- “Boundary Conditions for the Diffusion Solution of Coupled Conduction-Radiation Fluids, with J. Howell, NASA TN D-4618, June 1968.
- “Shape of a Magnetically Balanced Arc,” with W. Braun, NASA TN D-4726, August 1968.
- “Effective Slip Coefficients for Coupled Conduction-Radiation Problems” with J. Howell, Journal of Heat Transfer, Vol. 10, No. 1, February 1969.
- “Two Dimensional Inviscid Jet Flow from Two Nozzles at an Angle to a Plane Surface,” with R. Siegel, NASA TN D-5064, 1969.
- “Analysis of Two Dimensional Inviscid Model of Jet Impingement Under Vertical Takeoff Airplane,” with R. Siegel, NASA TN D-5288, June 1969.
- “Solution of the Differential Equation P= O Subject to the Initial Condition Journal of Mathematical Physics, Vol. 11, No. 2, February 1970.
- “Introduction to Abstract Analysis,” with B. Rosenbaum, NASA SP-203, 1969.
- “Conformal Mapping Procedure for Transient and Steady-State Two-Dimensional Solidification,” with R. Siegel and J. Savino, NASA TM X-52653, August, 1969. Presented at 4th International Heat Transfer Conference, Paris, France, August 31, 1970.
- “Injection of an Inviscid Separated Jet at an Oblique Angle to a Moving Stream,” with W. Braun, NASA TN D-5460, October 1969.
- “Injection of an Attached Jet at an Oblique Angle to a Moving Stream,” with W. Braun, NASA TN D-5501, October 1969.
- “Injection of an Attached Jet at an Oblique Angle to a Moving Stream,” with W. Braun, NASA TN D-5501, October 1969.
- “Analysis of the Mixing Region for a Two-Dimensional Jet Injected at an Angle to a Moving Stream,” with W. Braun, NASA TN D-553 1, November 1969.
- “Transient Conformal Mapping for Two-Dimensional Solidification of Flowing Liquid onto a Cold Surface,” with R. Siegel, NASA TN D-5578, December 1969.
- “Theory of Separation of Variables for Linear-Partial Differential Equations of the Second Order in Two Independent Variables,” NASA TN D-5789, May 1970.
- “Conformal Mapping for Heat Conduction in a Region With Unknown Boundary|”, with R. Siegel, International Journal of Heat and Mass G Transfer, Vol. 13, pp. 1632-1636, October 1870.
- “Analytical Method for Steady State Heat Transfer in Two-Dimensional Porous Media,” with R. Siegel, NASA TN D-5876, July 1970.
- “A Method for Obtaining Analytical Solutions to the Equation for Wind-Driven Circulation in a Shallow Sea or Lake,” with R. Siegel, NASA TN D-5989, September 1970.
- “Analysis of Heat Transfer in a Two-Dimensional Porous Region and Application to a Porous Square Duct,” with R. Siegel, NASA TN D-6065, October 1970.
- “Theory of Heat Transfer in a Two-Dimensional Porous Cooled Medium and Application to an Eccentric Annular Region,” with R. Siegel, Journal of Heat Transfer, Vol. 04, Series C, No. 4, November 1972.
- “Analysis of Heat Transfer for compressible Flow in Two-Dimensional Porous Media,” with R. Siegel, International Journal of Heat and Mass Transfer, Vol. 14, pp. 1677-1690, October 1971, also presented at AICHE-ASME Heat Transfer Conference, Denver, Colorado.
- “Effect of Velocity Slip at a Porous Boundary on the Performance of an Incompressible Porous Bearing,” with W. Braun, NASA TN D-6151, February 1971.
- “Wind-Driven Currents in a Shallow Lake or Sea,” with R. Gedney, NASA TM X-67952, Presented at the Fluid Dynamics Divisional Meeting of the American Physical Society, November 1971, Quarterly Journal of Mechanics and Applied Mathematics, Vol. XXVI, Part 3, August 1973.
- “Analytical Solution for the Wind-Driven Circulation in a Lake Containing an Island,” with R. Gedney, NASA TN D-6541, November 1971.
- “Advanced Methods for the Solution of Differential Equations,” with W. Braun, NASA SP-316, 1073.
- “Advanced Methods for the Solution of Differential Equations,” with W. Braun, NASA SP-316, 1973.
- “Inviscid Analysis of Jet Injection Between Two Moving Streams,” with R. Siegel, NASA TN D-6780, April 1072.
- “Emission of Sound from Axisymmetric Turbulence Convected by a Mean Flow with Application to Jet Noise,” with B. Rosenbaum, NASA TN D-6039, September 1972.
- “Analytical Solution for Heat Transfer in Three-Dimensional Porous Medica Including Variable Fluid Properties,” with R. Siegel, NASA TN D-6941, September 1972.
- “Emission of Sound from Convected Turbulence in Presence of Parallel or Nearly Parallel Solid Boundaries,” with B. Rosenbaum, NASA TN-D7118, February 1973.
- “New Aspects of Subsonic Aerodynamic Noise Theory,” with W. Howes, NASA TN D-7158, February 1973.
- “Effect of Anisotropic Turbulence on Aerodynamic Noise,” with B. Rosenbaum, Journal of the Acoustical Society of America, Vol. 54, No. 3, 1973.
- “Effect of Shear on Duct Wall Impedance,” with E. Rice, Journal of Sound and Vibration, Vol. 29, No. 4, August 1973.
- “Aeroacoustics, NASA SP-346, 1074.
- “Sound Radiation from a High-Speed Axial Flow Fan Due to Turbulence Quadrupole Interaction,” with B. Rosenbaum and L. Albers, NASA TN D-7667, June 1074.
- “A Combined Quadrupole-Dipole Model for Inlet Flow Distortion Noise from a Subsonic Fan,” with J. Dittmar and T. Geider, NASA TN D-7676, May 1974.
- “A Unified Approach to Aerodynamic Sound Generation in the Presence of Solid Boundaries,” Journal of the Acoustical Society of America, Vol. 56, No. 2, August 1974.
- “Inviscid Interpenetration of Two Streams with Unequal Total Pressures,” with W. Braun, Journal of Fluid Mechanics, Vol. 70, Part 3, August 1975.
- “A Review of Recent Developments in Aircraft Engine Fan Noise Analysis,” invited paper, Shock and Vibration Digest, Vol. 6, No. 12, December 1974.
- “The Low Frequency Sound from Multipole Sources in Axisymmetric Shear Flow-With Applications to Jet Noise,” Journal of Fluid Mechanics, Vol. 70, Part 3, August 1975.
- “Vortex Shedding From a Blunt Trailing Edge with Equal and Unequal External Mean Velocities, “ NASA TN D-8034, August 1975. Also, “Vortex Shedding as Related to Lip Noise,” with D. Boldman and P. Brinich, Presented at the 27th Annual Meeting of the American Physical Society Division of Fluid Dynamics, November 1975.
- “Vortex Shedding from a Blunt Trailing Edge with Equal and Unequal External Mean Velocities,” Journal of Fluid Mechanics, Vol. 75, June 1976.
- “A Complete Second Order Theory for the Unsteady Flow About an Airfoil Due to a Periodic Gust,” with H. Atassi, Journal of Fluid Mechanics, Vol. 74, April 22, 1976.
- “The Unsteady Supersonic Cascade with Subsonic Leading Edge Locus,” AIAA Journal Vol. 13, No. 8, August 1978.
- “On the Kernal Function for the Unsteady Supersonic Cascade with Subsonic Leading Edge Locus,” NASA TM X-71673, 1975.
- “On the Boundary Layer Effect in Panel Flutter,” AIAA Journal, Vol. 13, No .l 9, September 1975.
- “Aerodynamic Forces and Pressure Distribution of an Oscillating Airfoil of Arbitrary Shape,” with H. Atassi, presented at the 28th Annual Meeting of the American Physical Society Division of Fluid Dynamics, November 1975.
- “ The Low Frequency Sound From Multipole Sources in Axisymmetric Shear Flows-Part 11, “Journal of Fluid Mechanics, Vol. 75, Part 1, May 1075.
- “Unsteady, Aerodynamic Forces Acting on Loaded Two-Dimensional Blades in Nonuniform Compressible Flows,” with H. Atassi, Revus Francaise de Mcchanique, Special Volume, October 1976.
- “Aeroacoustics McGraw-Hill Book Company, 1976.
- “Unsteady Flow in a Supersonic Cascade with Strong in-Passage Shocks,” with W. Braun and J. Adamczyk, Journal of Fluid Mechanics, Vol. 83, Part 3, 1977.
- “Turbomachinery Noise,” in Preface and Workshop Report for the 3rd ALAA Aeracoustics Conference, Journal of Aircraft, Vol. 14, No. 6, August 1977.
- “Sound Production in a Moving Stream,” with A. Dowling and J. E. Flowcs Williams, Philosophical Transactions of the Royal Society, Mathematical and Physical Sciences, Vol. 288, No. 1353, pp. 321-349, March 1978.
- “Characteristics of the Unsteady Motion on Transversely Sheared Mean Flows,” Journal of Fluid Mechanics, Vol. 84, Part 2, pp. 305-330, 1978.
- “Unsteady Vortical and Entropic Distortions of Potential Flows Round Arbitrary Obstacles,” Journal of Fluid Mechanics, Vol. 89, Part 3, pp. 433-468, 1978.
- “Unsteady Flow in a Supersonic Cascade with Subsonic Leading Edge Locus,” with J. Adamczyk, AIAA Journal, Vol. 16, No. 12, pp. 1248-1254, 1978.
- “Effect of Fluid Flow on Freezing and Thawing of Saturated Porous Media,” with R. L. Reid, Proceedings of the Royal Society, A.364, pp. 45-73, 1978.
- “Scattering and Distortion of the Unsteady Motion on Transversely Sheared Mean Flows,” Journal of Fluid Mechanics, Vol. 93, Part 2, pp. 209-225, 1979.
- “Turbulence Generated by the Interaction of Entropy Fluctuations with Nonuniform Mean Flows,” Journal of Fluid Mechanics, Vol. 93, Part 2, pp. 209-225, 1979.
- “Supersonic Unstalled Flutter,” with J. Adamczyk, NASA TM 79001, Technical paper presented at 52nd Meeting of the AGARD Propulsion and Energetics Panel, AGARD Conference Proceedings No. 248 on Stresses, Vibrations, Structural Integration and Engine Integrity (including Aeroelasticity and flutter).
- “Turbomachinery Noise,” in Workshop Report for the Fourth AIAA Aeroacoustics Conference, Journal of Aircraft, Vol. 16, No. 1, pp. 36-37, 1979.’
- “Are Current Airplanes Quiet Enough?” Astronautics and Aeronautics, Vol. 17, No. 6, pp. 65-66, June 1979.
- “The Effect of Finite Turbulence Spatial Scale on the Amplification of Turbulence by a Contracting Stream,” with P. A. Durbin, Journal of Fluid Mechanics, Vol. 98, Part 3, pp 473-508, 1980.
- “Workshop Report for the AIAA 5th Aeroacoustics Conference, Journal of Aircraft, Vol. 17, No. 7, pp. 473-478, 1980.
- “The Coupling Between Flow Instabilities and Incident Disturbances at a Leading Edge,” Journal of Fluid Mechanics, Vol. 104, pp. 217-246, 1981.
- “High Frequency Sound Emission from Moving point Multipole Sources Embedded in Arbitrary Transversely Sheared Mean Flows,” Journal of Sound and Vibration, Vol. 80, (4) pp 499-521, 1982.
- “Generation of Instability Waves of a Leading Edge,” NASA TM 82835, 1982.
- “The Evolution of Tolimien-Schilchling Waves Near a Leading Edge,” Journal of Fluid Mechanics, Vol. 127, pp. 59-81, February 1983.
- “Small Amplitude Viscous Motion on Arbitrary Potential Flows,” Quarterly Journal of Mechanics and Applied Mathematics, Vol. 37, Part 1, pp. 1-31, 1984.
- “The Evolution of Tolimien-Schlichting Waves Near a Leading Edge-Part II,” with P. Sockol and J. Sanz, Journal of Fluid Mechanics, Vol. 129, April 1983.
- “Generation of Tolimien-Schlichting Waves by Freestream Disturbances at Low Mach Numbers,” NASA TM 83026, March 1093.
- “The Aeroacoustics of Turbulent Shear Flows,” Annual Review of Fluid Mechanics, January 1984.
- “A Procedure for Obtaining Explicit Solutions to a Class of Fredholm Integral Equations,” with M. Leitman, Journal of Integral Equations, vol. 8, pp. 87-93, 1985.
- “A Procedure for Obtaining Explicit Solutions to a Class of Fredholm Integral Equations,” with M. Leitman, Journal of Internal Equations, Vol. 8, pp.87-93, 1985.
- “Generation of Instability Waves in Flows Separating from Smooth Surfaces,” Journal of Fluid Mechanics, Vol. 145, pp. 71-94, 1984.
- “Sound Generation and Upstream Influence Due to Instability Waves Interacting with Nonuniform Flows,” Journal of Fluid Mechanics, Vol. 149, pp. 151-177, 1984.
- “Scattering of Acoustic Waves into Tolimien-Schlichting Waves by Small Streamwise Variations in Surface Geometry,” Journal of Fluid Mechanics, Vol. 154, pp. 509-531, 1985.
- “Convective and Absolute Instability of a Viscous Liquid Jet,” with S. J. Leib, Physics of Fluids, Vol. 29, No. 4, 1966.
- “The Generation of Capillary Instabilities on a Liquid Jet,” with S. J. Leib, Journal of Fluid Mechanics, Vol. 168, 1986.
- “Nonlinear Critical Layers eliminate the Upper Branch of Spatially Growing Tolimien-Schlichting Waves,” with P. A. Durbin, Physics of Fluids, 1986, Vol. 29, No. 8, August 1986.
- “Generation of Tolimien-Schlichting Waves on Interactive Marginally Separated Flows,” with S. J. Leib and S. J. Cowley, Journal of Fluid Mechanics, Vol. 181, 1987.
- “A Note on the Generation of Tolimien-Schlichting Waves by a Sudden Surface Curvature Change,” with L. S. Hultgren, Journal of Fluid Mechanics, Vol. 181, 1987.
- “The Generation of Tolimien-Schlichting Waves by Long Wavelength Free Stream Disturbances,” in Stability of Time-Dependent and Spatially Varying Flows, D. L. Dwyer and M. Y. Husssani, Eds., Springer-Verlag, 1987.
- “Roll-up of Vorticity in Adverse-Pressure-Gradient Boundary Layers,” with P.A. Durbin and S.J. Leib, Journal of Fluid Mechanics, Vol. 183, pp. 325-342, 1987.
- “Nonlinear Roll-up of Externally Excited Free Shear Layers,” with S. J. Leib, Journal of Fluid Mechanics, Vol. 191, pp. 481-515, 1988.
- “Nonlinear Spatial Evolution of an Externally Excited InstabilityWave in a Free Shear Layer,” with L. S. Hultgren, Journal of Fluid Mechanics, Vol. 197, December 1988.
- “Boundary-Layer Receptivity to Long-Wave Free-Stream Disturbances,” with L. S. Hultgren, Annual Review of Fluid Mechanics, January 1989.
- “Nonlinear Interaction Between the Sinuous and Varicose Instability Modes in a Plain Wake,” with S. J. Leib, Physics of Fluids A, Vol. 1, No. 3, March 1989.
- “Nonlinear Evolution of Oblique Waves on Compressible Shear Layers,” with S. J. Leib, Journal of Fluid Mechanics, Vol. 207, pp. 73-96, 1989.
- “Nonlinear Evolution of Interacting Oblique Waves on Two-Dimensional Shear Layers,” with S.-W. Chei, Journal of Fluid Mechanics, Vol. 207, pp. 97-120, 1989.
- “On the Instabilities of Supersonic Mixing Layers: A High Mach Number Asymptotic Theory,” with T. F. Balsa, Journal of Fluid Mechanics, Vol. 216, pp. 585-611, 1990.
- “Spatial Evolution of Nonlinear Acoustic Mode Instabilities on Hypersonic boundary Layers, with D. W. Wundrow, Journal of Fluid Mechanics, Vol. 219, pp. 585-607, 1990.
- “Nonlinear Spatial Evolution of Externally Excited Instability Waves in Free Shear Layers,” with L. S. Hultgren, ASME FED-Vol.92, International Symposium on Nonsteady Fluid Dynamics, Book No. H00597, 1990.
- “Position Paper for the Panel on Theory,” in Instability and Transition, Vol. 1, M.Y. Hussani and R. G. Voigt, Eds, Springer Verlag, pp. 6-10, 1990.
- “Position Paper for the Boundary Layer Receptivity Panel,” in Instability and Transition, Vol. 1, M. Y. Hussani and R. G. Voigt, Eds, Springer-Verlag, 1997.
- “Noise from Turbulent Shear Flows,” in Aeroacoustics of Flight Vehicles: Theory and Practice, Vol. 1, Noise Sources, H. H. Hubbard, Ed., NASA Ref. Pub. 12588, Vol. 1, WRDC, Technical Report 90-3052, pp. 291-3-10, August 1991.
- “Distortion of a Flat-Plate Boundary Layer by Free Stream Vorticity Normal to the Plate,” with S. J. Leib and S. J. Cowley, Journal of Fluid Mechanics, Vol. 237, pp.23-1-260, April 1992.
- “Fully Coupled Resonant-Triad Interaction in an Adverse-Pressure-Gradient Boundary Layer with S. S. Lee, Journal of Fluid Mechanics, Vol. 245, pp. 523-551, December 1992.
- “ Three-Dimensional Boundary Layer Instability and Separation Induced by Small Amplitude Streamwise Vorticity in the Upstream Flow,” with S. J. Leib, Journal of Fluid Mechanics, Vol. 246, pp. 21=41, January 1003.
- “A Note on the Distortion of a Flat-Plate Boundary Layer by Free-Stream Vorticity Normal to the Plate,” with S. J. Leib, Journal of fluid Mechanics, Vol. 248, pp. 531-541, March 1993.
- “The Development of a Mixing Layer Under the Action of Weak Streamwise Vortices,” with J. Mathew, Physics of Fluids A, Vol. 5, pp. 600-607, March 1993.
- “Oblique Instability Waves in Nearly Parallel Shear Flows,” with S. S. Lee, Chapter in Nonlinear Waves and Weak Turbulence with Awlications in Oceanography all Condensed Matter Physics, published by Birkhauser-Boston in the Progress in the Nonlinear Differential Equations and Their Applications series, 1993.
- “Nonlinear Interactions Between Oblique Instability Waves on Nearly Parallel Shear Flows,” Physics of Fluids, Vol. 6, No. 2, Part 2, pp. 724-735, February 1994.
- “Nonlinear Interactions Between Oblique Instability Waves on Nearly Parallel Shear Flows,” IN Transition, Turbulence, and Combustion, Vol. 1, M.Y. Hussaim, Thomas B. Gatski, and T. L. Jakson, Eds., Kiuwer Academic Press, 1994.
- “Interaction of Oblique Instability Waves with a Nonlinear Plane Wave,” with David W. Wundrow and Lennart S. Hultgren, Journal of Fluid Mechanics, Vol. 264, pp. 343-372, March 1994.
- “Interaction of Oblique Instability Waves with Weak Streamwise Vortices,” with David W. Wundrow, NASA TM-106584, Journal of Fluid Mechanics, Vol. 284, pp. 377-407, February 1995.
- “The Role of Nonlinear Critical Layers in Boundary Layer Transition,” Phil. Trans. R. Soc. Lond A (Theme Issue) 352. 425-442, September 1995.
- “The Role of Nonlinear Critical Layers in Transition to Turbulence in Boundary Layers, Presented at the 1st AIAA Theoretical Fluid Mechanics Meeting, June 17-20, 1996, New Orleans, LA, AIAA 96-2132.
- “On the Nonlinear Evolution of a Pair of Oblique Tolimien-Schlichting Waves in Boundary Layers,” with Xuesong Wu and S. J. Leib, Journal of Fluid Mechanics, Vol. 340, pp. 361-394, June 1997.
- “On the Environmental Realizabililthy of Algebraically Growing Disturbances and Their Relation to Klebanoff Modes, with D. W. Wundrow, Theoretical and Computational Fluid Dynamics, Vol. 10, No. 1-4, pp. 171-186, January 1998 (Special Issue in Honor of Sir James Lighhill).
- “Effects of Freestream Turbulence and Other Vortical Disturbances on a Laminar Boundary Layer,” with S. J. Leib and D. W. Wundrow, J. Fluid Mechanics, Vol. 380, pp. 169-203, 1999.
- “Emission of Sound From Turbulence Convected by a Parallel Mean Flow in the Presence of a Confining Duel,” with S. J. Leib, Journal of Sound and Vibration, Vol. 235, No. 1, pp. 25-42, 2000.
- “Effect on a Laminar Boundary Layer of Small amplitude Streamwise Vorticity in the Upstream Flow,” with D. W. Wundrow, J. Fluid Mechanics, Vol. 426, pp. 229-262, 2001.
- “Sound from Turbulence Convected by a Parallel Flow Within a Rectangular Duct,” with S. J. Leib, AIAA Journal, Vol. 39, No. 10, pp. 1875-1883, October 2001.
- “An Exact Form of Lilley’s Equation with A Velocity Quadrupole/Temperature Dipole Source Term,” J of Fluid Mechanics, Vol. 443, pp 231-236, 2001.
- “A Unified Approach to Some Recent Developments in Jet Noise Theory,” Accepted for Publication in International Journal of Acoustics, Vol. 1, 2002.
- “A Generalized Acoustic Analogy,” J. Fluid Mechanics, (2003) Vol. 488, pp 315-333, 2003 Cambridge University Press.
- “The Role of Instability Waves in Predicting Jet Noise,” with L. M. Handler, NASA TM-2003-212461. Also presented at 9th AIAA Aeroacoustics Conference and Exhibit, May 2003, AIAA 2003-3256.
- “Ninety-Degree Acoustic Spectrum of a High-Speed Air Jet,” AIAA Journal, Vol. 43, No. 1, January 2005.
- The Role of Instability Waves in Predicting Jet Noise,” with S. Leib, J Fluid Mechanics (2005) Vol. 525, pp 37-72, Cambridge University Press.
- “On Identifying the True Sources of Aerodynamic Sound,” J. Fluid Mechanics (2005) vol. 526, pp 337-347, Cambridge University Press.
- “Acoustic Source Modeling for High Speed Air Jets,” with A. Khavaran, NASA TM-2005-213416, January 2005, also published as AIAA 2005-415…
- “Jet Noise Predictions Based on Two Different Forms of Lilley’s Equation, Part 1: Acoustic Predictions and Comparison with Data, Part I: Basic Theory,” with A. Khavaran, R. E. Musafir, NASA TM-2005-213829, Part 1. Also presented at The 2005 Noise Congress and Exposition on Noise Control Engineering, August 2005.
- “Jet Noise Predictions Based on Two Different Forms of Lilley’s Equation, Part 2: Acoustic Predictions and Comparison with Data,” with A. Khavaran, R. E. Musafir, NASA TM-2005-213829, Part 2. Also presented at The 2005 Noise Congress and Exposition on Noise Control Engineering, August 2005.
- “Hybrid Reynolds-Averaged Navier-Stokes/Large Eddy Simulation for Predicting Jet Noise,” AIAA Journal vol. 44, No. 12, Dec. 2006.
- “The Aeroacoustics of Slowly Diverging Air Jets, Submitted to the Journal of Fluid Mechanics,” April 2007.
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