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Assignment number 2, from fluid mechanics year 3
Typology: Exercises
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1. Explain the fluid continuum assumption? The fluid continuum assumption is when you treat the fluids as continuous even though they are composed of molecules. The fluid properties can vary throughout the volume elements and are the average value of the molecular properties. 2. A cylindrical tank of methanol has a mass of 60kg and a volume of 75L. Determine the methanol’s weight, density, and specific gravity. Take the gravitational acceleration to be 9.81m/s2. Weight: 60kg9,81m/s^2 = 588, Density: 60kg/75L = 0,8 kg/L Specific gravity: 0,8 kg/L / 0.792 kg/L = 1, 1. What is cavitation? What causes it? Cavitation is the formation of bubbles in the fluid at the low-pressure regions. It occurs in places where the fluid has accelerated to high velocities. Examples where it occurs are centrifugal pumps, water turbines and marine propellers. 4. A pump is used to transport water to a higher reservoir. If the water temperature is 20o Celsius, determine the lowest pressure that can exist in the pump without cavitation. Cavitation occurs when the pressure falls below the saturation pressure. Therefor the lowest pressure that can exist is 2,34 kpa. Value found for the saturation pressure in table 2-2. 5. What is total energy of a system? Identify the different forms of energy that constitute the total energy. Furthermore, Saturated water vapor at 150o Celsius (enthalpy h = 2745.9kJ/kg) flows in a pipe at 35m/s at an elevation of z = 25m. determine the total energy of a vapor in J/kg relative to the ground level. The total energy in a system is the sum of all the different types of energy. Which includes thermal, mechanical, kinetic, potential, electric, magnetic, chemical, and nuclear. e= h+((V^2)/2) + gz e= 2745900 + ((35^2)/2) + 9,8125 = 2746480,93 J/kg
6. Explain the following: Water hammer, Viscosity, Surface tension, Capillary effect, Bulk Modulus of Compressibility, Specific Heat at Constant Volume. Water hammer: Water hammer is when there is a pressure surge or wave that is caused by a fluid in motion which is forced to stop or change direction. Viscosity: Viscosity is the fluids resistance to change shape or moving neighbouring portions relative to each other. Surface tension: Surface tension a liquids tendency to shrink when at rest into the smallest area possible. It is what allows objects with higher density than water to float. Capillary effect: The capillary effect is the rise and fall of a liquid in a small diameter tube inserted into a liquid. Bulk modulus of compressibility: The bulk modulus of compressibility of liquids are related to its compressibility. It can be defined as the required pressure to cause a unit change of volume of a liquid. Specific heat at constant volume: the specific heat of a gas when there is constant volume can be defined as the quantity of heat that is required to increase the temperature of unit mass by one degree when the heating is taking place at constant volume. 7.What is the difference between Newtonian and Non-Newtonian Fluids? Show it with the help of appropriate sketch. The difference between a Newtonian and a non-Newtonian fluid is that the Newtonian fluids does have a constant viscosity, which means that the viscosity does not change no matter what pressure is being applied. Non-Newtonian is simply the opposite. As can be seen on the picture the Newtonian has a constant viscosity whilst the dilatant and pseudoplastic are non-Newtonian and therefor they do not have constant viscosity.
10.A capillary tube is immersed vertically in a water container Knowing that water starts to evaporate when the pressure drops below 2kPa, determine the maximum capillary rise and tube diameter for this maximum rise case. Take the contact angle at the inner wall of the tube to be 6oand the surface tension to be 1N/m.