Recent content by Mitra

I am really confused. Would you please tell me what the turbulent boundary layer thickness is on a flat plate? There is a well-known Schlichting formula in the previous editions of his book “boundary layer theory”, which is: \delta = 0.37 X Re^{-0.2} But actually I could not find this...

Numerical Integration I could not obtain the numerical answer for following integrals, actually they tend to infinity. \int {\frac {(e^{-M\omega}) \cos(N\omega)} {\omega^5(\frac{\omega^4}{f^4} + \frac{(\omega^2)(4\zeta^2-2)}{f^2}+ 1)}d\omega \int {\frac {(e^{-M\omega}) \sin(N\omega)}...

Residue of poles of 5th order at 0 The integrand has poles of 5th order at 0, to find residue may be we should \lim {\frac{d^4}{d\omega^4}\frac {\omega^5 e^{-M\omega} e^{iN\omega}} {\omega^5(\frac{\omega^4}{f^4} + \frac{(\omega^2)(4\zeta^2-2)}{f^2}+ 1)} \omega\rightarrow 0 and in...

Residue We assume that M, N, fand \zeta are real and positive and \zeta\ll 1. Actually I solved the integral but I found some discrepancies. I would like to find the residue at following pole. -f\sqrt{(1-2 \zeta^2) - i2\zeta \sqrt{ (1-\zeta^2)}} As I mentioned \zeta\ll 1 so I...

You responded that it is possible to have a “fully developed turbulent flow over a single plate” and the only variable here is the Reynolds' number. I am interested in FULLY DEVELOPED, which means its velocity profile does not depend on the streamwise coordinate. I would like to know if it...

I would like to find the attached integral analytically by using “Cauchy Residue Theorem”. I am wondering if there is any numerical solution for this integral. Thanks \int {\frac {\exp(-M\omega) \exp(iN\omega)} {\omega^5(\frac{\omega^4}{f^4} + \frac{(\omega^2)(4\zeta^2-2)}{f^2}+...

Random vibration and FEM I am wondering if deterministic method such as FEM is reliable for computation of random response to dynamic system. We are developing a method to predict the response of a flat shell element to a pressure filed arising from the fully developed turbulent boundary...

I still don't know if it is possible to have a “fully developed turbulent flow” over plate?

fully developed turbulent flow over plate Is it possible to have a “fully developed turbulent flow” over plate? I am interested is incompressible subsonic flow and I know that the fully developed turbulent flow, i.e., constant velocity profile can happen inside pipes or channels or between...

fully developed turbulent flow over plate Is it possible to have a “fully developed turbulent flow” over plate? I am interested is incompressible subsonic flow and I know that the fully developed turbulent flow, i.e., constant velocity profile can happen inside pipes or channels or between...