Steven Weinstein Headshot

Steven Weinstein

Department Head

Department of Chemical Engineering
Kate Gleason College of Engineering
Program Faculty, School of Mathematical Sciences

Office Hours
10-12, Tuesday and Thursday
Office Location
Office Mailing Address
160 Lomb Memorial Drive Institute Hall Rochester, NY 14623-5603

Steven Weinstein

Department Head

Department of Chemical Engineering
Kate Gleason College of Engineering
Program Faculty, School of Mathematical Sciences


BS, University of Rochester; MS, Ph.D., University of Pennsylvania


Dr. Steven Weinstein received his B.S. in Chemical Engineering from the University of Rochester and his MS and Ph.D. in Chemical Engineering from the University of Pennsylvania. He worked for Eastman Kodak Company for 18 years after receiving his Ph.D.. He is well published in the field of coating, and has focused on thin film flows, die manifold design, wave stability, curtain flows (flows in thin sheets of liquid), and web dynamics; he also has 7 patents in these areas. He co-authored a well-cited invited review article on Coating Flows in the prestigious Annual Reviews of Fluid Mechanics (2004, Vol. 36). Dr. Weinstein won the CEK Mees award for excellence in research and technical writing (1992; honorable mention 1998), the highest research award bestowed by Eastman Kodak Company, and was recipient of the Young Investigator Award from the International Society of Coating Science and Technology in 2000. He has served on the board of directors of this society since 2004. While at Kodak, Dr. Weinstein was also an Adjunct Professor of Chemical Engineering at the University of Rochester, an Adjunct Professor of Mechanical Engineering at the Rochester Institute of Technology (RIT), and an Adjunct Professor of Chemical and Biomolecular Engineering at Cornell University. 

Dr. Weinstein joined the faculty of the Department of Mechanical Engineering at Rochester Institute of Technology (RIT) in January of 2007, and along with teaching graduate and undergraduate courses in fluid mechanics and applied math, founded the Department of Chemical Engineering Weinstein in fall of 2008. In addition to performing his administrative duties as department head and serving on a variety of college and university committees, he teaches chemical engineering courses on material balances in reactive systems, fluid dynamics, chemical thermodynamics, reactor design, separation processes, and applied mathematics. Dr. Weinstein also serves as a core faculty member in the Mathematical Modeling Ph.D. Program at RIT. He maintains his adjunct position at Cornell University, providing guest course lectures and performing research with collaborators there.

Research Areas 

Dr. Weinstein's current research areas are varied, collaborative, and are predominantly theoretical yet application oriented. One current focus is the examination of instabilities in spatially developing flows; this work is motivated by a need to control such flows in a variety of manufacturing processes with exacting tolerances that are disrupted by small disturbances. His recent work examines long-time algebraic growth/decay in linear systems, a type of instability that has been largely unexamined in the prior literature, as well as the response of continually-forced absolutely and convectively unstable fluid systems. He has also recently co-developed the technique of asymptotic approximates that has been applied to a variety of problems in mathematical physics; asymptotic approximates are a new and highly powerful analysis technique that couples divergent series expansions about a given point, often with few terms, with an asymptotic behavior away from this point to obtain highly accurate analytical equations. 

For more details on these research areas, see the Barlow/Weinstein Asumptotics and Wave Instability Group.

Other recent areas in which he has focused via his collaborations are mapping techniques for ensemble averaging in statistical mechanics, coating die manifold design for shear thinning fluids, analysis of thermoelectric systems, adsorption of organic molecules on carbon nanotubes, oxygen diffusion into titanium dioxide nanotubes.


Personal Links

Select Scholarship

Journal Paper
Torsey, Bridget M., et al. "The effect of pressure fluctuations on the shapes of thinning liquid curtains." Journal of Fluid Mechanics 910. (2021): A38-1 to -15. Print.
Theisen, Eric A. and Steven J. Weinstein. "An Overview of Planar Flow Casting of Thin Metallic Glasses and its Relation to Slot Coating of Liquid Films." Journal of Coatings Technology and Research. (2021): 1-12. Web.
Rame, Enrique, Steven J. Weinstein, and Nathaniel S. Barlow. "On the shape of air–liquid interfaces with surface tension that bound rigidly rotating liquids in partially filled containers." IMA Journal of Applied Mathematics 86. (2021): 1266-1286. Print.
Belden, Elizabeth R., et al. "Asymptotic Approximant for the Falkner-Skan Boundary-Layer Equation." Quarterly Journal of Mechanics and Applied Mathematics 73. 1 (2020): 36-50. Print.
Barlow, Nathaniel S. and Steven J. Weinstein. "Accurate Closed-form Solution of the SIR Epidemic Model." Physica D: Nonlinear Phenomena 408. (2020): 132540. Print.
Weinstein, Steven J., et al. "Analytic Solution of the SEIR Epidemic Model via Asymptotic Approximant." Physica D: Nonlinear Phenomena 411. (2020): 132633. Print.
Gascon, Katherine N., Steven J. Weinstein, and Michael G. Antoniades. "Use of Simplified Surface Tension Measurements To Determine Surface Excess: An Undergraduate Experiment." Journal of Chemical Education 96. (2019): 342-347. Print.
Ruschak, Kenneth J. and Steven J. Weinstein. "Accurate Approximate Methods for the Fully Developed Flow of Shear-thinning Fluids in Ducts of Non-circular Cross Section." Journal of Fluids Engineering 141. (2019): 111202-1 to -7. Print.
Weinstein, Steven J., et al. "On Oblique Liquid Curtains." Journal of Fluid Mechanics 876. R3 (2019): R3-1 to R3-9. Print.
Huber, Colin, et al. "On the Stability of Waves in Classically Neutral Flows." IMA Journal of Applied Mathematics 85. (2020): 309-340. Print.
Beachley, R., et al. "Accurate Closed-form Trajectories of Light Around a Kerr Black Hole Using Asymptotic Approximates." Classical and Quantum Gravity 35. (2018): 20500: 1-28. Print.
Barlow, Nate S., Steven J. Weinstein, and Joshua A. Faber. "An Asymptotically Consistent Approximant For the Equatorial Bending Angle of Light Due To Kerr Black Holes." Classical and Quantum Gravity 34. (2017): 1-16. Print.
Ruschak, Kenneth J. and Steven J. Weinstein. "Model For the Outer Cavity of A Dual-Cavity Die with Parameters Determined From Two-Dimensional Finite-Element Analysis." AIChE Journal 64. 2 (2018): 1-38. Print.
Barlow, N. S., et al. "On the Summation of Divergent, Truncated, and Underspecified Power Series via Asymptotic Approximants." Quarterly Journal of Mechanics and Applied Mathematics 70. 1 (2017): 21-48. Print.
King, K., et al. "Stability of Algebraically Unstable Dispersive Flows." Physical Review Fluids 1. 7 (2016): 073604-1 to -19. Print.
Schultz, A. J., et al. "Reformulation of Ensemble Averages via Coordinate Mapping." Journal of Chemical Theory and Computation 12. 4 (2016): 1491-1498. Print.
Close, T., et al. "Rapid Reversible Oxygen Scavenging at Room Temperature with Electrochemically-Reduced Titanium Oxide Nanotubes." Nature Nanotechnology 10. (2015): 418-422. Print.
Dichiara, A. B., S. J. Weinstein, and R. E. Rogers. "On the Choice of Batch or Fixed-Bed Adsorption Processes for Wastewater Treatment." Industrial and Engineering Chemistry Research 54. (2015): 8579-8586. Print.
Barlow, N. S., et al. "Analytic Continuation of the Virial Series Through the Critical Point Using Parametric approximants." Journal of Chemical Physics 143. 7 (2015): 071103-1 to -5. Print.
Barlow, Nathaniel S., Brian T. Helenbrook, and Steven J. Weinstein. "Algorithm for Spatio-temporal Analysis of the Signalling Problem." IMA Journal of Applied Mathematics 82. (2017): 1-32. Print.
Stevens, Robert J., Steven J. Weinstein, and Karuna S. Koppula. "Theoretical Limits of Thermoelectric Power Generation from Exhaust Gases." Applied Energy 133. (2014): 80-88. Print.
Dichiara, Anthony B., et al. "Free-Standing Carbon Nanotube/Graphene Hybrid Papers as Next Generation Absorbents." Nanoscale 6. (2014): 6322-6327. Print.
Barlow, Nate S., et al. "Critical Isotherms from Virial Series Using Asymptotically Consistent Approximants." AIChE Journal 60. 9 (2014): 3336-3349. Print.
Lee, S. H., et al. "Gravity-driven Instability of a Thin Liquid Film Underneath a Soft Solid." Physical Review E 90. (2014): 1-9. Print.
Sandoz-Rosado, E. J., S. J. Weinstein, and R. J. Stevens. "On the Thomson Effect in Thermoelectric Devices." International Journal of Thermal Sciences 66. (2013): 1-7. Print.
Ruschak, K. J. and S. J. Weinstein. "A Local Power-law Approximation to a Smooth Viscosity Curve with Application to Flow in Conduits and Coating Dies." Polymer Engineering and Science 5. 10 (2014): 2301-2309. Print.
Barlow, N.S., S.J. Weinstein, and B.T. Helenbrook. "On The Response of Spatially Developing Flow to Oscillatory Forcing With Application to Liquid Sheets." Journal of Fluid Mechanics 699. (2012): 115-152. Print.
Shetty, S., K.J. Ruschak, and S.J. Weinstein. "Model for a Two-Cavity Coating Die with Pressure and Temperature Deformation." Polymer Engineering & Science 52. 6 (2012): 1173-1182. Print.
Barlow, N S, et al. "An Asymptotically Consistent Approximant Method With Application to Soft and Hard-sphere Fluids." Journal of Chemical Physics 137. (2012): 204102-1 to -13. Print.
Rogers, R. E., et al. "Solution-phase Adsorption of 1-pyrenebutyric Acid Using Single-wall Carbon Nanotubes." Chemical Engnieering Journal 173. 1 (2011): 486-493. Print.
Norton, M. M., R. J. Robinson, and S. J. Weinstein. "Model of Ciliary Clearance and the Role of Mucus Rheology." Physical Review E 83. 1.1:011921 (2011): 1-12. Print.
Published Article
Barlow, N. S., B.T. Helenbrook, S.P. Lin and S.J. Weinstein.“An Interpretation of absolutely and convectively unstable waves using seriessolutions.” Wave Motion, 47.8 (2010): 564-582. Print. *
Theisen, E. A., M. Davis, S.J. Weinstein and P.H. Steen. “Transient behavior of the planar-flow melt spinning process.” ChemicalEngineering Science, 65.10 (2010): 3249—3259. Web. *
Oakes, J. M., S. Day, S.J. Weinstein and R.J. Robinson. “Flow field analysis in expanding healthy and emphyematous alveolar models using particle image velocimetry.” Journal of Biomechical Engineering, 132.2 (2010): 1-9. Web. *

Currently Teaching

3 Credits
Mathematical techniques necessary for engineering analysis are introduced that augment training from core mathematics and engineering courses. The spreadsheet environment is used to implement mathematical procedures and examine data results. Topics examined include roots of equations, curve fitting, statistics, Fourier analysis, solution of systems of algebraic equations, optimization, numerical differentiation and integration, and the solution of ordinary and partial differential equations. Techniques are applied to mathematical problems naturally arising in chemical engineering.
0 - 9 Credits
Masters-level research by the candidate on an appropriate topic as arranged between the candidate and the research advisor.
1 - 3 Credits
Independent Study
3 Credits
This course examines the use of larger scale chemical engineering processes to control and manipulate microscale phenomena.
1 - 4 Credits
Allows upper-level undergraduate students an opportunity to independently investigate, under faculty supervision, aspects of the field of chemical engineering that are not sufficiently covered in existing courses. Proposals for independent study activities must be approved by both the faculty member supervising the independent study and the department head.
1 - 4 Credits
Allows graduate students an opportunity to independently investigate, under faculty supervision, aspects of the field of chemical engineering that are not sufficiently covered in existing courses. Proposals for independent study activities are subject to approval by both the faculty member supervising the independent study and the department head.
0 Credits
The purpose of this course is to provide a full-time professional development experience for students who are actively seeking a co-op but have not yet received a job offer. Students will propose and then complete a program-approved plan that will require full-time effort and will result in the acquisition of skills and proficiencies that enhance their career development and marketability for future employment. A faculty advisor will be responsible for mentoring students throughout the semester and ensuring that students are making progress toward their goal.

In the News

  • May 28, 2020

    Nathaniel Barlow and Steve Weinstein.

    RIT scientists develop method to help epidemiologists map spread of COVID-19

    Nathaniel Barlow, associate professor in RIT’s School of Mathematical Sciences, and Steven Weinstein, head of RIT’s Department of Chemical Engineering, outline a solution to the SIR epidemic model, which is commonly used to predict how many people are susceptible to, infected by, and recovered from viral epidemics, in a study published in Physica D: Nonlinear Phenomena.