Journal Papers

Barlow, N. S., W. C. Reinberger, and S. J. Weinstein. "Exact and explicit analytical solution for the Sakiadis boundary layer." Physics of Fluids 36. (2024): '031703. Print.

Naghshineh, N., et al. "On the use of asymptotically motivated gauge functions to obtain convergent series solutions to nonlinear ODEs." IMA Journal of Applied Mathematics 88. 1 (2023): 43-66. Print.

Huber, C. M., N. S. Barlow, and S. J. Weinstein. "On the two-dimensional extension of one-dimensional algebraically growing waves at neutral stability." Wave Motion 113. (2023): 103083. Print.

Naghshineh, N., et al. "Asymptotically-consistent analytical solutions for the non-Newtonian Sakiadis boundary layer." Physics of Fluids 35. (2023): 53103. Print.

Pia, A. Della, et al. "On the shapes of liquid curtains flowing from a non-vertical slot." Journal of Fluid Mechanics 974. (2023): A18-1 to A18-22. 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 19. 1 (2022): 49-60. Print.

Han, Haixiang, et al. "Multiscale hierarchical structures from a nanocluster mesophase." Nature Materials 21. (2022): 518-525. Web.

Reinberger, W. C., et al. "On the power series solution to the nonlinear pendulum." The Quarterly Journal of Mechanics and Applied Mathematics 75. 4 (2022): 347-369. Print.

Huber, C. M., N. S. Barlow, and S. J. Weinstein. "On the response of neutrally stable flows to oscillatory forcing with application to liquid sheets." Physics of Fluids 34. (2022): 104106. Print.

Naghshineh, N., et al. "The shape of an axisymmetric meniscus in a static pool: effective implementation of the Euler transformation." IMA Journal of Applied Mathematics 88. (2023): 735-764. Print.

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.

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 Engineering 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.

Previous Publications

Helenbrook, Brian T. and Nathaniel S. Barlow. "Spatial—temporal Stability Analysis of Faceted Growth with Application to Horizontal Ribbon Growth." Journal of Crystal Growth 454. (2016): 35-44. Print.

Lee, S. H, Kara L Maki, D. Flath, Steven J Weinstein, C. Kealey, C. Li, C. Talbot, and S. Kumar. 2014. “Gravity-Driven Instability Of A Thin Liquid Film Underneath A Soft Solid”. Phys. Rev. E 90 (053009). Phys. Rev. E.

Barlow, Nathaniel S, A. J Schultz, S. J Weinstein, and D. A Kofke. 2012. “An Asymptotically Consistent Approximant Method With Application To Soft- And Hard-Sphere Fluids”. J. Chem. Phys. 137. J. Chem. Phys.: 204102.

Barlow, Nathaniel S, S. J Weinstein, and B. T Helenbrook. 2012. “On The Response Of Convectively Unstable Flows To Oscillatory Forcing With Application To Liquid Sheets”. J. Fluid. Mech. 699. J. Fluid. Mech.: 115-152.

Barlow, Nathaniel S, B. T Helenbrook, and S. P Lin. 2011. “Transience To Instability In A Liquid Sheet”. J. Fluid. Mech. 666. J. Fluid. Mech.: 358-390

Barlow, Nathaniel S, B. T Helenbrook, S. P Lin, and S. J Weinstein. 2010. “An Interpretation Of Absolutely And Convectively Unstable Waves Using Series Solutions”. Wave Motion 47. Wave Motion: 564-582.

Barlow, Nathaniel S, Brian T Helenbrook, and Sung P Lin. 2009. “A Numerical Investigation Of The Stability Of Expanding Liquid Sheets And The Influence Of Boundary Conditions”. Computers & Fluids 38. Computers & Fluids: 552–563.

Byrne, C. J, Steven J Weinstein, and P. H Steen. 2006. “Capillary Stability Limits For Liquid Metal In Melt Spinning”. Chem. Eng. Sci. 61. Chem. Eng. Sci.: 8004-8009.

Jiang, W. Y, B. T Helenbrook, S. P Lin, and Steven J Weinstein. 2005. “Low Reynolds Number Instabilities In Three-Layer Flow Down An Inclined Wall”. J. Fluid Mech. 539. J. Fluid Mech.: 387-416.

Weinstein, Steven J, and K. J Ruschak. 2004. “Coating Flows”. Ann. Rev. Fluid Mech. 36. Ann. Rev. Fluid Mech.: 29-53.