Derive the equations (velocity and shear stress equations) for flow through a cylindrical tube, but only use the cylindrical equation of motion equation (B.5-6). List all assumptions you make.
Equation B.5-6:
Derive the equations (velocity and shear stress equations) for flow through a cylindrical tube, b...
how would you solve number 4? this image shows equation B.5-3. p)asunng usite eqaten tn (6.5-3), 4. Assure he tin was ratl (Pabn3 hen Teus turned wates into water? Assiome 0.0014 Pas an Mrke 0.000 1. wine. Much slowkr di wi dip 847 5B.5 The Equation of Motion in Terms of τ UATION OF MOTION IN TERMS OF T Cartesian coordinates (x, y, z): dv dv av av. a These equations have been written without making the assumption that τ...
fr the falling fm . Lerive anl vcloci Pey o 42) assumin 5 usinte equatienmtion (6.5-3), niam ity, average velocity, or force on solid surfaces. tion appear, and In the integrations mentioned above, several constants of integration a the velocit stress at the boundaries of the system. The most commonly used boundae are as follows: using "boundary conditions"-that is, statements about a. At solid-fluid interfaces the fluid velocity equals the velocity with which surface is moving: this statement is applied...
A. In the table below, identify which of the circled terms of the governing equations can be neglected by the given assumption. Write the number of the term in the table. Some assumptions relate to multiple terms, include them all. B. Write the mathematical equations describing the appropriate boundary conditions and identify them in words. C. Applying the appropriate boundary conditions, solve the differential equation remaining after appropriate terms have been neglected to determine the velocity profile in the film: d^2(w)/dx^2 =...
Explain brifly and calculate "part B" directly Section 2.4 2.60 Figure P2.60 shows a static force, F applied to the tooth of a gear that is keyed to a shaft. Making appropriate simplifying assumptions, identify the stresses in the key. and write an equation for each.* State the assumptions made, and discuss briefly their effect Section on A-4 FIGURE P2.60 Part B. If in above example, the static force F = 25,000 N is acting at a distance of R...
Consider the steady, laminar flow of two liquids, A and B, with viscosities HA-μ and μΒ 21, respectively, between infinite parallel plates at 2- a, as shown in the diagram below. The plate at 2 a is fixed, while the plate at 2a moves with constant velocity -Vi, where V0. The liquids do not mix, and each forms a layer of depth a. There is an applied pressure gradient acting on both liquids, given by ▽p--Ci (where C > 0...
Alt 9) Gas A, in fully developed, laminar air flow, enters a tubular inhaler of A in radius and I in reacts at the inner wall of the inhaler to fom gas B. The per unit area is-r.-k"C. To obtain the Ca profile we do the shell rate of A balance of mass transfer, where the generation term is a catheter of radius Rc placed in a small artery of radius R as shown the moves at a constant speed...
(b (b d o р There are several forces acting on each sphere: gravity is pulling it down, the electric field is pushing it away from the other sphere, and the tension on the string is keeping it aloft. The spheres are not accelerating, which means that the forces are in equilibrium. To help you understand how the forces are related, we are providing you with the free body diagram for the sphere on the right. Fr is the force...
I just need help with question (b) - I don't know how to find c and k Task 5 Technology may be used as an aid in this task but you must clearly explain your reasoning In this task, you will model some demographic data. A new satellite city, Springtown, has been built outside of the Brisbane metropolitan area to ease population growth in the greater Brisbane area. It was originally planned to house up to 45000 people at most....
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
X Part I. Derive Bivariate Regression by hand. Again, we are using the same data set that we used in the in-class assessment. Case Dietary Fat Body Fat 22 9.8 22 11.7 14 8.0 21 9.7 32 10.9 26 7.8 30 21 17 1. Step 1: Find the mean of dietary fat x = 2. Step 2: Find the mean of body fat y = 3. Step 3: Find the sum of (x1 - x)y- y) = 3316 4. Step...