Engineering Answers

 The velocity components in a two dimensional flow are :

U = 8x^2 y - 8/3 y^3 And

V = -8xy^3 + 8/3 x^3.

Show that these velocity components represents a possible case of an irrotational flow.

For the velocity components given as : u = ay sin xy, v = ax sin xy. Obtain an expression for the velocity potential function.

The stream function for a two-dimensional flow is given by ψ = 8xy, calculate the velocity at the point p(4, 5). Find the velocity potential function ϕ.

If for a two-dimensional potential flow, the velocity potential is given by ϕ = 4x(3y - 4), determine the velocity at the point (2, 3) . Determine also the value of stream function ψ at the poins (2, 3).

The advertising alternatives for a company include television, radio, and newspaper advertisements. The costs and estimates for audience coverage are given in the table below:

TV newspaper radio

Cost per advertisement $2000 $600 $300

Audience/advertisemet $100,000 $40,000$18,000

The local newspaper limits the number of weekly advertisements from a single company to ten. Moreover, in order to balance the advertising among the three types of media, no more than half of the total number of advertisements should occur on the radio, and at least 10% should occur on television. The weekly advertising budget is $18,200. How many advertisements should be run in each of the three types of media to maximize the total audience?

(a) Formulate the problem above in mathematical model.

(b) Formulate the problem in standard form.

(c) Solve this business problem using the Simplex method.

In steady state ideal PFR, the concentration of reactant_____decreases/increases/stays constant) from entrance to exit of the reacto reactor?

5)In steady state ideal CSTR, the exit concentratar of reactant( is equal to,is less than,is grater than) the concentration of the reactant inside the reactor?

4)During the progress of the reaction in the batch reactor, the concentration of reactant(decreases,increases)with increasing time?

3)Write the expression for rate of reaction of reactant A if it decomposes according to elementary reaction, 2A->P+R

2)Is the rate constant depends on the concentration of reactant?(yes/no)