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CAN I JUST GET HELP WITH #5. Flux may be defined as the rate at which an extensi

ID: 1843206 • Letter: C

Question

CAN I JUST GET HELP WITH #5.

Flux may be defined as the rate at which an extensive property (mass dependent) enters or exits a plane normal to the direction of flow. In hydraulics, we generally talk about four different kinds of flux: PURPOSE The purpose of this experiment Is to determine how velocity varies with longitudinal distance from the outlet of a submerged orifice. In this experiment, the fluid diffusing from the jet and the surrounding medium is air. The mass flux, momentum flux, and energy flux are to be computed at a distance 30 inches from the orifice and compared to values computed at the orifice. PROCEDURES Along the centerline of the jet, use the pitot tube to measure the stagnation pressure, 1/2 pv^2, at points for which x/D is equal to -1, 0, 2, 4, 6, 8, 10, 12, 14, 16, 18. At a distance of x/D = 10, measure the stagnation pressure in a vertical plane using increments of .05 feet measured radially outward from the centerline of the jet. It does not matter which direction, up or down, this is measured. Compute the exit velocity, Vo, using the readings dose to the exit. Make a plot on 2 cycle log-log paper of the dimensionless parameters (V interlinear/Vo) and x/D. Use the abscissa to plot your (V interline x/D values and the ordinate to plot your values. Fit a straight line as best as you can through this data. The slope of this line should be -1, Determine graphically the value of the constant "C".V_CL/V_0 - c(x/D)^-1 Using the data obtained at (x/D) = 10, plot the dimensionless parameters (V/Vo) vs, (r/D)^2. Using (r/D)^7 in the abscissa and (V/Vo) as the ordinate, estimate the ratio of (x/D = 10) E(x/D = 0) by numerical integration.

Explanation / Answer

Hi there. The following is the answer to your question, subpart number 5):

Why is it important to non-dimensionalize the parameters before plotting?

Non-Dimensional form of the parameters often shows very clearly that the original variables do not govern the qualitative type of the solution. Rather, their ratios (or other combinations) govern the solution. Also, when you need to solve a problem numerically the dimensionless parameters help you to scale your problem.

Could this experiment be completed without doing so?

No. The experiment of "Characteristics of a Submerged Circular Jet" requires the process of dimensionalizing the parameters, since the circular jet exting the orifice is turbulent and is a combination of mass flux, momentum flux and energy flux. As many parameters (for example density, fluid velocity, diameterof orifice) are invloved, the need to obtain non-dimensional parameters is extremely important to obtain a generalized solution to this problem.

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