Which choice is the genera1 differential equation form of the continuity equation for a control volume?
- None of these
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Fluid Mechanics: Fundamentals and Applications
- Water is flowing in a circular pipe of varying cross-sectional area. At one point in the pipe the radius of the pipe is 0.2 m. What must be the water velocity at this point if the volume velocity o water is 0.8 m³.s^-1? Hint: Use continuity equation.arrow_forwardA pipe has a cross-sectional area of 16.5cm2 at point A, where the speed of the fluid (water) is 1.2 m/s and the pressure is 2.00 atm. The pipe ascends 3.00 m and narrows to 8.20 cm2 at point C. a) what's the speed of the fluid at point C. b) what's the absolute pressure at point C.arrow_forwardShow that the equation continuity can be written in the formarrow_forward
- Which one of the following statements is false concerning the derivation or usage of Bernoulli’s equation?(a) The fluid must be non-viscous. (b) Streamline flow is assumed. (c) The fluid must be incompressible. (d) The work-energy theorem is used to derive Bernoulli’s equation. (e) Vertical distancesare always measured relative to the lowest point within the fluid.arrow_forwardIn fluid flow, it is assumed that the fluid is ideal. a. trueb. falsec. cannot be definedarrow_forwardThe pressure in a section of horizontal pipe with a diameter of 2 cm is 152 kPa. Water flows through the pipe at 2.80 L/ s. If the pressure at a certain point is to be reduced to 109 kPa by constricting a section of the pipe, what should the diameter of the constricted section be? Assume laminar nonviscous flow. Express your answer in meters to four decimal places. Us the continuity equation and water flow rate to find the speed of the fluid in one region.arrow_forward
- An aluminum sphere of radius 0.5 mm falls through a viscous liquid of density 2700 kg/m3. It attains a constant terminal velocity of 1.5 cm/s. What is the viscosity of the fluid? a) 0.001 N.s/m2 b) 0.052 N.s/m2 c) 0.25 N.s/m2 d) none of thesearrow_forwardQ1:: Explain all the terms of the Continuity Equation and their physical meanings with the help of examples.arrow_forwardVelocity components in the flow of an ideal fluid in a horizontal plane; Given as u = 16 y - 12 x , v = 12 y - 9 x a) Is the current continuous?(YES OR NO) b) Can the potential function be defined?(YES OR NO) c) Find the unit width flow passing between the origin and the point A(2,4). (y(0,0)=0) d) Calculate the pressure difference between the origin and the point B(3;3).arrow_forward
- An incompressible fluid flows through a pipe without significant viscosity. It has a density of 124 kg per cubic meter. In a section of pipe with a 2.8 cm radius the fluid moves at a speed of 13 m/s, and has a pressure of 103,763 pascals. It flows into a section of pipe with a 3.87cm radius that is 5 meters higher than the first section. What the pressure in the second section of pascals?arrow_forwardThe entrance-to-exit area ratio of streamtube is given as 2. Consider incompressible flow entering the streamtube. Which of the following statements is true? A. mass flow decreases and static pressure decreases B. mass flow decreases and static pressure increases C. mass flow remains unchanged and velocity of the flow decreases D. mass flow remains unchanged and velocity of the flow increasesarrow_forwardA block of mass 4.0 kg moves horizontally on a film of crude oil at 30°C. The contact area of the undersurface is 0.06 m². If initially the block has a speed of 3.0 m/s, find the speed after 1 s. Dynamic viscosity of crude oil at 30° is 1.65 x 10-3 Pa.s. The oil film thickness below block is 0.3mm.arrow_forward
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