The maximum flow past a circular cylinder is 2 X the Up stream velocity. The max velocity occurs at the center line of the top of the cylinder. Assume std pressure and Temp for air and irrational flow.
What is the difference between the lowest and highest pressures?
The cylinder is suspended in a 40/m wind.© BrainMass Inc. brainmass.com October 24, 2018, 7:28 pm ad1c9bdddf
The highest pressure occurs on the points of the cylinder located on the horizontal axis.
The value of this pressure is that of total pressure (p_tot), since these points are stagnation points.
The total pressure is:
The solution includes text and equational information. Expert demonstrates the difference between the lowest and highest pressures.
4 small questions
Please show all work
1)It has been conjectured that a fish swimming a distance of L ft at a speed of V ft/sec relative to the water and against a current flowing at the rate of U ft/sec (u<v) expends a total energy given by: E(v)= aLv^3/v-u
where E is measured in foot-pounds (ft-lb) and a is a constant. Find the speed V at which the fish must swim in order to minimize the total energy expended.
2) By cutting away identical squares from each corner of a rectangular piece of cardboard and folding up the resulting flaps, an open box may be made. If the cardboard is 15in long and 8 in wide, find the dimensions of the box that will yield the maximum volume,
3) In an open box has a square base and volume of 108 cubic inches, and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amoun o material is used in construction.
4) A grain silo has the shape of a right circular cylinder surronded by a hemisphere. If the Silo is to have a capacity of 504*PI cubic feet, find the radius and height of the silo that requires the least amount of material to construct.
(The volume of the silo is pi*r^2*h + 2/3*pi*r^3, and the surface area, including the floor, is pi(3*r^2 + 2*r*h)