In Section 7.2.1 of Bergman's Fundamentals of Heat and Mass Transfer, there is a derivation of the Blasius equation$$ 2 \frac{\mathrm d^3 f}{\mathrm d \eta^3} + f \frac{\mathrm d^2 f}{\mathrm d \eta^...

Air with density ρ, absolute pressure P1 flows through a pipe with velocity v₁ and cross-sectional area A₁, and then enters a contraction with area A₂. A1/A2=10. We need to determine the pressure P₂ ...

Imagine inviscid, incompressible steady-state fluid flow around a cylinder like in the diagram below so that it flows around the cylinder symmetrically about the x-axis:According to the no-slip ...

A container is shaped like a truncated cone (frustum) as in cylinder-like shape where one end has a larger radius than the other. Both orientations contain the same volume of water, and the outlet ...

From the equation of continuity and Bernoulli's theorem a formula can be derived for the velocity of efflux when it flows from a hole of area $a$ such that the cross-sectional area of the container is ...

So Liouville's theorem basically says the local density of representative points stays constant or that the flow of representative points resembles that of an incompressible fluid. Can you then say ...

Okay, so I'm studying statmech from Pathria.Liouville's theorem talks about the flow of representative points in phase space. These representative points represent each and every microstate ...

I was reading the article "Round Laminar Jet" by H.B. Squire about the Landau jet (for which I can't provide free access, sadly). It models a fluid being discharged into a space containing ...

I am trying to figure out if it makes sense to open both of the bedroom windows in the below scenario. Both windows swing out from the center and stand perpendicular to the wall. Other rooms in the ...

I'm reading the article "Lattice-Boltzmann Simulations of Particle-Fluid Suspensions"by A. J. C. Ladd and R. Verberg.In section 5.4 ("Limiting Cases"), the authors note that in ...

Do fluid streams (air coming out of two jet engines, one on each wing; hot gas coming out of multiple rocket nozzles, etc.) attract one another ("pinch" or bundle together)?cf. History of ...

I have a question about fluid dynamics that is causing some confusion for me. It relates to the pressures at play when priming a siphon.The Setup:Imagine two identical tanks, Tank A and Tank B....

When a Pitot tube faces a uniform incompressible flow we obtain the usual Bernoulli result for stagnation pressure:$p_{0} - p_{\infty } = (1/2)\rho v_{\infty }^{2}$so the Pitot gives the dynamic ...

In a pipe of diameter 10cm that narrows into a pipe segment of diameter 5cm, my understanding with the continuity equation is that flow remains constant in both segments of the pipe. However, ...

I am having trouble understanding the continuity equation alongside Poiseuille's law. I would like to mention a scenario of a syringe with diameter 4cm pushing saline solution into a tube of 1mm ...