Q4) Set up the differential equations for the two masses [Fig.1]
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![Q4) Set up the differential equations for the two masses [Fig.1]
2cos (3t)
Fig. 1
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K1
M1
M2
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- Define the following dimensionless group number in fluid mechanics, a)Interpretation of force ratio, and what types of application. b)Reynolds number (Re) c)Euler number (Eu) d) Mach number (Ma) e) Weber number (We)FLUID MECHANICS: HYDROSTATICSShow the complete solution.Any method maybe used for those problems which do not specify a methof Answer: 13.734 kPaThis question is related to fluid mechanics
- 1 Consider a rapidly rotating (ie, in near geostrophic balance) Boussineq fluid on the f plane. A) Show that the pressure divided by the density scales as Φ ≈ fUL B) Show that the horizontal divergence of the geostrophic wind vanishes. Thus, argue that the scaling W ≈ UH = L is an overestimate for the magnitude of the vertical velocityIs the Eulerian method of fluid flow analysis more similar to study of a system or a control volume? Explain.The density of a fluid is given by the empirical equation: ? = 70.5exp(8.27×10^−7 ?), where ? is density (lbm/ft^3) and P is pressure (lbf/in^2). a) Calculate the density in g/cm^3 for a pressure of 9.00 x 10^ 6 N/m^2.c) Derive a formula for ? (g/cm^3) as a function of P (N/m^2).
- Is the Lagrangian method of fluid flow analysis more similar to study of a system or a control volume? Explain.A certain torpedo, moving in fresh water at 10 8 C, has a minimum-pressure point given bythe formulapmin = p0 - 0.35 ρV2 (1)where p 0 = 115 kPa, ρ is the water density, and V is the torpedo velocity. Estimate thevelocity at which cavitation bubbles will form on the torpedo. The constant 0.35 isdimensionless.The compressible form of the continuity equation is (∂?/∂t) + ∇-›·(?V-›) = 0. Expand this equation as far as possible in Cartesian coordinates (x, y, z) and (u, ?, w).
- Please solve this question in fluid mechanicsFor the pressure-gradient fl ow between two parallel platesof Fig. 4.12( b ), reanalyze for the case of slip fl ow at bothwalls. Use the simple slip condition u wall = l( du / dy ) wall ,where l is the mean free path of the fl uid. ( a ) Sketch theexpected velocity profi le. ( b ) Find an expression for theshear stress at each wall. ( c ) Find the volume fl ow betweenthe plates.Here, a liquid's density is to be determined by a 1-cm diameter cylindrical hydrometer whose division marks are non visable. The hydrometer is first dropped in water, and the water level is marked. The hydrometer is then dropped into the 'liquid x', and it is observed that the mark for water has risen 0.85 cm above the liquid–air interface. In this case, the height of the originalwater mark is 12.7 cm. As such, how would I determine the density of the liquid?