# Fluids in motion, hydrodynamics study Essay Example

INTRODUCTION

The flow of fluids is described by fluid mechanics which is a sub-branch of fluid dynamics. Our sub discipline of interest under this is hydrodynamics-study of fluids in transit/motion. The applications of fluid dynamics are limitless ranging from determination of mass flow rate of fluids in pipes, obtaining solutions in flow velocity, and density for example (Blevins, pg.550-568).

Water or any other fluid draining out of a tank is a common activity observed in the surroundings. Our numerical engineering calculation and solution allows one to compute the height required to achieve a velocity of v=(x+2) where x= last number of the Student’s I.D.

METHODOLOGY

By neglecting the change in the reservoir level, the transient velocity of the fluid flowing from the pipe v (t) can be expressed as:

h is the height of the fluid in the reservoir,

L is the length of the pipe,

g is the acceleration due to gravity,

t is the time elapsed from the beginning of the flow.

Find the value of h necessary for achieving a velocity of v=(x+2) m/sec at time t =3 sec when L = 5m and g= 9.81 m/sec2

1. Create arrays for LHS function and RHS function with respect to h.
2. Obtain two scenarios with h as the subject of the formula form two equations and solve.

CONCLUSION

In conclusion, the height of the water in reservoir is a function dependent on the velocity of the discharge. With the velocity of flow being high, the rate of discharge will also be high whereas the height h of the reservoir will reduce. This problem shows ow fluid flow in a reservoirs can be controlled by maintaining certain parameters at constant.

Reference

Blevins, Robert D. «Applied fluid dynamics handbook.» New York, Van Nostrand Reinhold Co., 1984, 568 p. (1984).