Read e-book online Boundary Layer Analysis PDF
By Joseph C. Schetz
Spanning the full variety of viscous fluid flows of engineering curiosity, from low-speed to hypersonic flows, this e-book introduces and analyzes laminar, transitional, and turbulent flows; the physics of turbulent shear flows; and turbulence types. It deals concurrent remedy of momentum, warmth, and mass move, and covers new analytical equipment which are popular in initial layout, in particular for layout optimization experiences. the foremost revisions function new labored examples and homework difficulties utilising easy JAVA Applets for boundary layer calculations together with sleek numerical tools. options mentioned comprise viscous flows, laminar flows, transition and turbulent flows, and convective warmth and mass move. precise positive factors comprise built-in remedy of warmth, mass, and momentum move for laminar and turbulent flows; glossy computing device equipment for boundary layer issues of trouble-free, web-based software program; huge homework challenge units concerning glossy desktop equipment; and options handbook.
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Extra resources for Boundary Layer Analysis
The answer is, only if the solid surface were displaced upward a distance 6 * such that s pue6* = P (ue - U)~Y (2-14a) The length 6* is, therefore, called the displacement thickness. A parallel argument can be made concerning the flow of momentum through the region 0 Iy I6 , compared with that for an inviscid profile. It turns out that the surface must be Solution of the Integral Momentum Equation Sec. 2-3 35 y=s* 0 u= 0 u, Figure 2-2 Schematic illustration of the definition of the displacement thickness 6 *.
We know that the boundary layer grows proportionally to fi,so it can be conjectured that *- fif(77) = Cfif(77) (4- 16) Exact and Numerical Solutions 82 Chap. 4 where C is another convenience constant. The form of f ( q ) in Eqs. (4-15) and (4-16) can be seen to be correct by reexamining the definition of the stream function, Eq. (3-8), and noting that q ( y / & ) . Substituting into Eq. (4-14) and collecting terms, we find it convenient to select A , B , and C so that - (4-17) giving the final equation f ”’ + ff” =0 (4- 18) This equation surely has a simple appearance, although it is important to note the remaining nonlinearity in the term ff”.
Transform techniques yield U UW = e r f cG( L t) (4-7) F 80 Exact and Numerical Solutions Chap. 4 U U V d Figure 4-2 Velocity distribution in the neighborhood of an oscillating wall. mathematical problem is posed by Eq. (3-6a) and the steady, constant-property form of Eq. (3-26a): -au+ - =a0o ax (3-6a) ay (3-26a) The difficulty is that these are nonlinear partial differential equations. For the class of problems in the preceding section, the terms on the left-hand side of the momentum equation disappear, and the system becomes linear.
Boundary Layer Analysis by Joseph C. Schetz