Search for question
Question

Done 4:47 read.wiley.com AA Ć sludge per unit volume of filtrate, and Rf the specific resistance of the filter medium. What are the dimensions of Rf and and a? 7.1.3 WP Verify that the left-hand side of Eq. 7.2 is dimensionless using the MLT system. 7.1.4 WP The Reynolds number, pVD/u, is a very important parameter in fluid mechanics. Verify that the Reynolds number is dimensionless, using both the FLT system and the MLT system for basic dimensions, and determine its value for ethyl alcohol flowing at a velocity of 3 m/s through a 2-in.-diameter pipe. 7.1.5 WP For the flow of a thin film of a liquid with a depth h and a free surface, two important dimensionless parameters are the Froude number, V/√gh, and the Weber number, pv²h/o. Determine the value of these two parameters for glycerin (at 20 °C) flowing with a velocity of 0.7 m/s at a depth of 3 mm. 7.1.6 WP The Mach number for a body moving through a fluid with velocity V is defined as V/c, where c is the speed of sound in the fluid. This dimensionless parameter is usually considered to be important in fluid dynamics problems when its value exceeds 0.3. What would be the velocity of a body at a Mach number of 0.3 if the fluid is (a) air at standard atmospheric pressure and 20 °C, and (b) water at the same temperature and pressure? Answer Section 7.3 Determination of Pi Terms P-93 C < > Done 4:48 read.wiley.com AA Ć resistance of the filter medium. What are the dimensions of Rf and and a? 7.1.3 WP Verify that the left-hand side of Eq. 7.2 is dimensionless using the MLT system. 7.1.4 WP The Reynolds number, pVD/μ, is a very important parameter in fluid mechanics. Verify that the Reynolds number is dimensionless, using both the FLT system and the MLT system for basic dimensions, and determine its value for ethyl alcohol flowing at a velocity of 3 m/s through a 2-in.-diameter pipe. 7.1.5 WP For the flow of a thin film of a liquid with a depth h and a free surface, two important dimensionless parameters are the Froude number, V/√gh, and the Weber number, pV2h/o. Determine the value of these two parameters for glycerin (at 20 °C) flowing with a velocity of 0.7 m/s at a depth of 3 mm. 7.1.6 WP The Mach number for a body moving through a fluid with velocity V is defined as V/c, where c is the speed of sound in the fluid. This dimensionless parameter is usually considered to be important in fluid dynamics problems when its value exceeds 0.3. What would be the velocity of a body at a Mach number of 0.3 if the fluid is (a) air at standard atmospheric pressure and 20 °C, and (b) water at the same temperature and pressure? > Answer Section 7.3 Determination of Pi Terms 7.3.1 WP A mixing basin in a sewage filtration plant is P-93 C < > Done 4:48 Reader Available 目 3ʊugii a z−1.¯uantiti Pipt. 7.1.5 WP For the flow of a thin film of a liquid with a depth h and a free surface, two important dimensionless parameters are the Froude number, V/√gh, and the Weber number, pv²h/o. Determine the value of these two parameters for glycerin (at 20 °C) flowing with a velocity of 0.7 m/s at a depth of 3 mm. 7.1.6 WP The Mach number for a body moving through a fluid with velocity V is defined as V/c, where c is the speed of sound in the fluid. This dimensionless parameter is usually considered to be important in fluid dynamics problems when its value exceeds 0.3. What would be the velocity of a body at a Mach number of 0.3 if the fluid is (a) air at standard atmospheric pressure and 20 °C, and (b) water at the same temperature and pressure? Answer Section 7.3 Determination of Pi Terms 7.3.1 WP A mixing basin in a sewage filtration plant is stirred by a mechanical agitator with a power input W = F .L/T. Other parameters describing the performance of the mixing process are the fluid absolute viscosity μ= F.T/L², the basin volume V L³, and the velocity gradient G = 3 1/T. Determine the form of the dimensionless relationship. 7.3.2 WP SS The excess pressure inside a bubble (discussed in Chapter 1) is known to be dependent on bubble radius and surface tension. After finding the pi terms, determine the variation in excess pressure if we (a) P-93 C ค < > Done 4:48 read.wiley.com AA Ć 7.3.13 Consider a typical situation involving the flow of a fluid that you encounter almost every day. List what you think are the important physical variables involved in this flow and determine an appropriate set of pi terms for this situation. 7.3.14 WP The weir shown in Fig. P7.3.14 is used to measure the volume flowrate Q. The height H is a measure of this flowrate. The weir has length L (perpendicular to the paper). Select and include relevant fluid properties and find the appropriate dimensionless parameters. H g Density = p Absolute viscosity = μ P FIGURE P7.3.14 Answer 7.3.15 WP Experiments are conducted on a washing machine agitator. The relevant dimensional parameters are the driving torque, J, the oscillation frequency, f, the angular velocity, w, the number of paddles, N, the paddle height, H, and the paddle width, w. Specify the relevant fluid properties and find the appropriate dimensionless P-94 ค < > Done 4:49 read.wiley.com AA Ć double the radius and (b) double the surface tension. Solution 7.3.3 WP At a sudden contraction in a pipe the diameter changes from D₁ to D2. The pressure drop, Ap, which develops across the contraction is a function of D₁ and D2, as well as the velocity, V, in the larger pipe, and the fluid density, p, and viscosity, μ. Use D₁, V, and μ as repeating variables to determine a suitable set of dimensionless parameters. Why would it be incorrect to include the velocity in the smaller pipe as an additional variable? 7.3.4 WP Water sloshes back and forth in a tank as shown in Fig. P7.3.4. The frequency of sloshing, w, is assumed to be a function of the acceleration of gravity, g, the average depth of the water, h, and the length of the tank, e. Develop a suitable set of dimensionless parameters for this problem using g and e as repeating variables. @ e FIGURE P7.3.4 > Answer 7.3.5 WP Assume that the flowrate, Q, of a gas from a P-93 ค < >/nCIVE 300 Homework #8 Spring 2024 Complete the following problems from your textbook. Bolded problems are candidates for grading, but all must be completed for full credit. 7.1.4, 7.1.5, 7.1.6, 7.3.14, 7.3.3, 7.9.11

Fig: 1