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Transfer Processes for Fluid Flow
The continuity equation
The continuity equation states that mass flowrate in the inlet stream is equals to the outlet stream.
Units used is meter cubic per second.
ANd the flowrate is equals to the velocity of the fluid times the area of the inlet or outlet pipe.
BUt in some systems the inlet and outlet diameters of the pipes are different so we can use the Q=VA equation to calculate the necessary unknown, PROVIDED that the density of the fluid is constant.
If otherwise, meaning density changes due to temperature or so on, Mass flowrate in the inlet and outlet is the same. However, this time we need to consider the density. Thus, rho xVA(inlet) = rhoxVA(outlet).
Bernoulli's Equation.
It states that H in is equals to H out. Z + V square over 2g + Pressure over rho times density (inlet) is equals to Z + V square over 2g + Pressure over rho times density (outlet).IT is only applicable if there is no Head pump or head loss.
Darcy-Weisbach Equation
It was improvised from the equation of K times the V square over 2g. The new formula to be used is f(friction factor) x the equivalent length times the square of velocity over 2g.This formula is used to calculate the head loss in pipes for both straight pipes and pipe fittings. The friction factor can be gotten from the Moody's Diagram which needs the values,the Reynolds' no, the relative roughness and the pipe diameter.
Energy Balance Equation
It consists of the similar thing in Bernoulli's, but with addition of Head of pump and Head loss in pipes.
Usually the Head Loss consists of Head loss major, Head loss minor and Head loss entrance and exit. Head loss major is the head loss through the sraight pipe. It is calculated using the Darcy-Weisbach Equation. Straight forward calculations as explained above on how to get the Head loss major. Head loss minor is similarly simple with the exception that the equivalent length over the diameter is given in the form of a table. Then the Head loss for entrance and exit loss. Entrance loss is when the fluid is flowing into a pipe and is calculated with the formula of 0.5 x square velocity over 2g. Exit loss is when the fluid is flowing out of a pipe into a big tank and is calculated with the formula of just square of velocity over 2g. Add all the head loss together and put in the bernoulli'S H in and H out. Finally we will be able to find out the size of the pump in terms of meters of height of the fluid.
ASsalamualaikum
Faizal Fernandez
10:06 PM
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