Express the following variables as dimensionless ratios Variable Length (L) Kinemastic Viscosity (v) Velocity (V) Meaning find out (pi) term using Buckingham Pi Theorem
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Express the following variables as dimensionless ratios
Variable Length (L)
Kinemastic Viscosity (v)
Velocity (V)
Meaning find out (pi) term using Buckingham Pi Theorem
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- Dimensional analysis: O Is very helpful in determining speeds for dynamic similarity in model testing O Is an efficient way of storing and retrieving experimental data All responses are correct Helps in planning experiments Can be used to derive equations and non-dimensional numbersDimension the isometric view using datum dimensioningAssignment 3 On Viscosity Calculation - Word TOUT REFERENCES MAILINGS REVIEW VIEW Hyperlink P Bookmark tArt Chart Screenshot Apps for Office Online Video Cross-reference Comment Header Footer Page Number Text Quick WordA Box Parts - ns Apps Media Links Comments Header & Footer (2) Referring to the following figure, the distance between plates is Ay = 0.5 cm, Av: = 10 cm/s, and the fluid is ethanol at 273 K having a viscosity of 1.77cp (0.0177 g/cm s). (a) Calculate the shear stress ty and the velocity (b) gradient of shear rate -/dy using cgs units. (c) Repeat using SI units. A Torce Fdshear berween teoparailel plates
- The dependence of thermal conductivity of a material on temperature is given by an empirical equation k = a ebT where a and b are constants, and k is in W/m-K and T is in K. Spot the true statement from the following set. a, a and b have the same dimension as k. b. a has the dimension of k and b is dimensionless. c. a and b are dimensionless. d. a has the dimension of k and b has the dimension of T.Check the following equation for dimensional homogeneity: mv = = 1.5² (Fcose) dt where m is mass, v is velocity, F is force, is an angle, and t is time. Check that each term in the equation has the following dimensions: [MªLbTC] where you are to choose the coefficients a, b, c. Answers: a = i b = i C=1. In Buckingham π theorem, if n is the number of variables and m is the number of basic dimensions, the number of independent dimensionless parameters would be,A. (m – n) B. (n – m) C. (m + n) D. (n/m)
- Thermal conductivity k is a measure of the ability of a material to conduct heat. For conduction heat transfer in the x-direction through a surface normal to the x-direction, Fourier’s law of heat conduction is expressed as: Q=-kA.dT/dx where ?̇ is the rate of heat transfer and A is the area normal to the direction of heat transfer. Determine the primary dimensions of thermal conductivity (k). Look up a value of k and verify that its SI units are consistent with your result. Write a set of primary SI units for k.Kinematic viscosity /4 of water varies with temperature T as shown in the table. Determine the cubic that best fits the data, and use it to compute peg at T= 10°,30°,60°, and 90°C. by interpolation.) Solve by matlabThe power P required for operating a pump depends on the diameter of the pump D, the pressure rise Ap across the pump, the fluid density p, the fluid viscosity and the Theorem, and D, Q and p as the repeating variables, the dimensionless group associated with μ is given by volume flow rate Q through the pump. Using Buckingham's μDªQbpº. Determine the values of a, b and c. 1. [0.99, 1.01 2. [-1.01, 0.99 3. [-1.01, -0.99 a= b = C=
- Check the following equation for dimensional homogeneity: mu = (Fcos) at where m is mass, v is velocity, F is force, is an angle, and it is time. Check that each term in the equation has the following dimensions: [MOLT] where you are to choose the coefficients a, b, c. Answers: b= C= i iAs the temperature of the hydrogen gas decreases of same gas decreases. Specific volume O Viscosity Capillarity O Surface tension The fluid particles of water in the sea rotate about their own axis in a rotational fluid flow. Select one: True O FalseThe operating conditions found at two different points of a blade on a wind turbine are shown. These conditions were determined at a temperature for which the kinematic viscosity is 1.33 x 10-5m²/s. What are the Reynolds numbers found at each blade section? Wind velocity (m/s) Angle of attack (degrees) Location (r/R) Chord (m) 0.15 15 1.5 0.95 75 0.35 7.5