callum

Spherical particles of density 2500 kg/m3 and in the size range 20-100 μm are fed continuously into a stream of water (density 1000 kg/m3 and viscosity 0.001 Pa s) flowing upwards in a vertical, large diameter pipe. Assume 𝑔 = 9.81m/s2. What maximum water velocity is required to ensure that no particles of diameter greater than 60 𝜇𝑚 are carried upwards with the water? Assume that the upward velocity of the water is uniform across the cross section of the large pipe and that the pipe walls have no effect. Ignore the interactions between the particles. State all of your assumptions.

I'm wondering how to divide this integral into partial fractions in order to integrate.

I m not really sure what the difference between dy/dx, the partial derivative and the derivative with the symbol 𝛿 is.

Thanks in advcance for any help.

I'm performing an experiment involving measuring the differential head loss across a valve when the valve is opened by different fractions. I'm wondering what exactly causes losses in pressure/ energy as the fluid passes through the valve.

I have the equation y = 2yy +xy + y and i need to different this derivative again to obtain a third order derivative but i am not sure how to deal with the y terms. The above y represents a derivative.

Thanks in advance for any help.

I need to calculate the solubility product for Hg2Cl2 using the standard potentials for Hg->Hg2+ + 2e- (-0.85V) and Hg2Cl2 + 2e- ->2Cl- +2Hg

Can the quadratic equation be used to solve this equation

I need to find a solution to (a+bi)^2= (1 + j) /(2)^0.5 but im getting no sensible answers when im working through

I have the equation y''= 2y - xy' and i need to differentiate to obtain the third derivative but im not sure as to what the xy' term becomes when differentiated

I need to find the mclaurines series for y(x) satisfying y'= y^2 +xy +1 when y(0)= 1

i need to integrate 3/(12x-6-4x^2)^0.5 but ive no idea what method to use?

i need to integrate 3/(12x-6-4x^2)^0.5 but ive no idea what method to use?

im trying to convert mol R^-1 TO mol k^-1 but im not clear on whether a difference of 1k is equal to 1.8R or vice versa

I have the poisson equation for steady state cylindrical co-ordinate system. Which is (1/r)*d(r*dT/dr)/dr + g/lambda = 0 (r= radius of cylinder, g=energy generation, lambda=heat transfer coefficient. I need to get the equation in terms of dT/dr so i can substitute it into the Fourier equation to calculate the heat flux. I suspect the equation needs to be integrated but im not sure how this would be done correctly.

Thanks in advance for any help.

A source for the value would be much appreciated if you have one. Thanks in advance.