00:02
So using the following equation of study flow, we can write summation of fdt that will be equals to summation of dm multiplied by velocity v or speed v.
00:17
So from here we can write summation f equals to summation of dm by dt multiplied by v.
00:25
So in the x direction, we can write summation fx that will be equals to dma.
00:32
V a x divided by d t plus d m b d m b b b x divided by d t plus d m c v similarly we can write summation f y equals to d m a v a v a y divided by d t plus d m b b b y divided by d t plus d m c v y divide by d t so say this is our equation number one and this is our equation number two now we need to determine the parameters for filling this equation so uh from the continuity equation we can write q c equals to qa plus qb and we know that q is given by velocity by area so we can write from this equation that vc ac that will be equals to a a va plus a b b b okay so now cross -sectional areas for the different cross sections will be a a that will be equals to pi by four of d a square okay and d is 0 .5 inch, 0 .5 feet, sorry, 0 .5 inch.
02:12
So we can write 0 .5 divided by 0 .5 square and that will be equal to 0 .19625 19625 inch square, that will be equals to 1 .3628 multiplied by 10 to the power minus 3 feet square.
02:34
Similarly, we get ab equals to pi by 4 and diameter is 0 .5 again.
02:44
So 0 .5 square.
02:45
So similarly, we will get this value again in the feet.
02:49
So 1 .3628, multiplied by 10 to the power minus 3 feet square...