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The steady streaming generated by a vibrating plate parallel to a fixed plate (1982)

Wang, C. Y. ; Drachman, B.

Springer

Flow, turbulence and combustion 39 (1982), S. 55-68

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ISSN: 1573-1987

Source: Springer Online Journal Archives 1860-2000

Topics: Mechanical Engineering, Materials Science, Production Engineering, Mining and Metallurgy, Traffic Engineering, Precision Mechanics

Notes: Abstract A viscous fluid is sandwiched between two parallel plates. The top plate performs both normal and lateral small translatory oscillations. The unsteady Navier-Stokes equations are solved using perturbations. The nonlinear Reynolds stress causes a secondary steady streaming. It is found that the normal oscillations induce a steady lift while the interaction between normal and lateral oscillations causes a directional net flux. The system thus operates as a valveless pump with rigid walls.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF00384371

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A unified approach to solving ill-conditioned matrix problems (1989)

Rothwell, E. ; Drachman, B.

Chichester [u.a.] : Wiley-Blackwell

International Journal for Numerical Methods in Engineering 28 (1989), S. 609-620

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ISSN: 0029-5981

Keywords: Engineering ; Engineering General

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics , Technology

Notes: A unified approach to solving ill-conditioned matrix problems is presented, concentrating on those problems arising in engineering where measurement inaccuracy is the major source of error. By applying the singular value decomposition, it is shown that regularization with a parameter can be used without squaring the condition number of the matrix. Numerical examples demonstrate that a smaller relative error is attainable using the unified approach over the more standard technique of discarding singular values. Lastly, a simple method is presented for locating the optimal solution using a computed residual.

Additional Material: 7 Ill.