Mathematics Homework Solutions

Volume Calculation: Fluid into a box

How many fluid mls would fit into a box measuring 3626mm in lenth, 1875mm in width and 1216mm in height?

Mass Balance Problem

This problem is vague and hard to understand. Any help would be appreciated. Thanks.

Show a velocity expression satisfies the partial differential equation (given)

Thank you in advance for your help in solving this problem. See attached problem statement.

Calculating drag coeffecients around a falling sphere.

Thank you for taking the time to look at this problem. I am having difficulties with all aspects of this problem and i need to learn the proper solution method. Thank you. Please see attached problem statement.

Boundary Conditions

In solving transport phenomena problems, we use "boundary conditions" and "initial conditions". In mathematical terms, (that is, types of variables), what are "boundary conditions" and what are "initial conditions"

Differential equations - 2 Water tanks

Two identical water tanks labeled A and B are resting at the same elevation and are linked via a pipe with a valve. The cross sectional area of each of the tanks is 1m^2. The valve demonstrates linear behavior (volumetric flow is linear with pressure drop) and will allow a flow of 0.5 m^3/min under a pressure drop equivalent to ...continues

Proofing Identities

Show that the equation of conservation of mass {see attached} can be written in the equivalent form {see attached} where {see attached} denotes the material derivative of the flow.

Identities Proof

Identities Proof (see attachment)

Acceleration Field

If the velocity field of a flow is given by {see attached} where {see attached} and Q is a positive constant, show that {see attached} everywhere except at the origin. Find the acceleration field. *See attachment for figures and equations.

Streamlines (find particle paths in parametric form)

If {see attached} where {see attached} are positive constants, calculate the streamlines and find the equations of the particle paths in parametric form.

Browse