Instructional Fluid Dynamics in Viscous Flow Part I, Finite-Difference Solution for Stagnation Flow Near a Rotating Disc


Dhaubhadel, M. N. and Nakahashi, K. and Habashi, W. G. and Agarwal, R. K. and Oshima, K.


Computational fluid dynamics (CFD) was introduced to the first-year graduate students in a viscous flow course. In addition to cover the classical theories, the problem assignments were structured for the purpose that the students can apply their background in mathematics and computer-science to solve fluid dynamic problems, numerically. Introducing the Tri-Diagonal Matrix Algorithm (TDMA), examples were given for solving implicitly formulated finite-difference equations. Part I of this study applies the TDMA method to find similarity solutions for stagnation flows. The lectured material is given in the Appendix for plane and axisymmetric flows. The paper presents the assigned problems of finding velocity and pressure distributions near a rotating disc. Part II applies the same method to solve Navier-Stokes equations in an flow field of arbitrary geometry.

Meeting Name

1995 ASME/JSME Fluids Engineering and Laser Anemometry Conference and Exhibition


Mechanical and Aerospace Engineering

Keywords and Phrases

Algorithms; Engineering Education; Finite Difference Method; Laminar Flow; Navier Stokes Equation; Pressure; Rotating Disks; Velocity; Viscous Flow

Document Type

Article - Conference proceedings

Document Version


File Type





© 1996 American Society of Mechanical Engineers (ASME), All rights reserved.

Publication Date

01 Jan 1996

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