FM-Class-2-Summary

MSubbu welcomed the students to the class and emphasized the importance of spending time reviewing the materials, as they had committed to doing so a month ago. He mentioned that the class would cover Bernoulli's equation, its applications, and modifications to include friction effects, along with calculations for frictional pressure drop. MSubbu advised the students to join the class 5 minutes early to ensure comfort with the audio system and to spend at least 1-2 hours per day on the course materials to achieve top ranks.

MSubbu discussed two fluid mechanics problems involving Bernoulli's equation. In the first problem, he explained how to calculate the initial discharge rate from a pressurized tank with a 3-meter height of water, ignoring frictional losses. In the second problem, he showed how to find the maximum height of a collapsible tube under a given pressure, ensuring the pressure at the tube's flexible part remains above 10 psi below atmospheric pressure. MSubbu provided step-by-step solutions for both problems, converting units and applying Bernoulli's equation to find the required values.

MSubbu discussed the problem of estimating the maximum height for a siphon to prevent cavitation, explaining the physics involved and how to calculate the minimum pressure allowed to avoid bubble formation and blockage of the liquid flow. He used barometer data to determine the vapor pressure of water and outlined the steps to solve the problem using the given data. MSubbu emphasized the importance of understanding these concepts for engineering applications and mentioned that similar problems have been asked in previous GATE questions

Bernoulli's Equation Applications in Flow Meters

In a problem, he demonstrated how to solve for pressures in a branching pipe system using Bernoulli's equation between different points, validating the solution through energy balance calculations.

MSubbu explained the application of the Bernoulli equation to solve problems related to fluid flow, including calculating the instantaneous rate of change of height and velocity in a nozzle. He also discussed the use of Bernoulli's principle in flow metering devices like the venturimeter and rotameter. MSubbu provided step-by-step solutions to sample problems, emphasizing the importance of understanding Bernoulli's equation and its applications in fluid mechanics.

MSubbu explained the principles of flow measurement using Pitot tubes and manometers. He described how to calculate velocity and volumetric flow rate from pressure measurements, taking into account the coefficient of discharge and frictional effects. MSubbu also explained the difference between static pressure, dynamic pressure, and stagnation pressure as measured by the Pitot tube's static and impact tubes.

MSubbu explained the principles of rotameters and their application in measuring flow rates. He discussed how the flow rate changes when using different fluids, such as air and helium, by considering the effects of fluid density and molecular weight on the buoyancy force and drag. MSubbu also mentioned that the same equation can be used for both cases, but the flow rate will change based on the fluid's density. He noted that this problem was previously asked in a GATE exam and provided a solution for calculating the new flow rate when switching from air to helium.

MSubbu discussed the need for students to read course material before class to improve efficiency. He proposed shifting the peer discussion sessions from Friday to Saturday evenings, pending confirmation from students about their availability. MSubbu emphasized the importance of students spending time on tests and assignments to achieve their academic goals, mentioning potential job opportunities with companies like IOCL and BPCL. He encouraged students to communicate any doubts and assured them of his availability for support.