Say we have a well with $8000ft$ of $4\mathrm{.}265$ drillpipe and $500ft$ of $83$ collars. The viscosity is $15cp$ with $10ppg$ mud. The hole is $10$ inches in diameter. The vg meter reads $15cp$ at $300$ rpm and $20$ at $600$ rpm$.$ The bit has $3$ nozzles at $12/32\text{'}$s $($make sure you can do this by hand $..$ you can check it with the spreadsheet$)$

a$.$ At static conditions what is the pressure at the bottom of the well?

b$.$ What is the pressure at the bottom of the weil while circulating? $($Bingham plastic model$)$

c$.$ What is the hp at the bit

d$.$ What is the pump pressure?

In a V$-$G meter, we get readings of $21$ at $300rpm$ and $33$ at $600rpm.$

a$.$ Calculate the plastic viscosity and yield strength using the Bingham plastic model.

b$.$ Calculate the consistency and flow$-$behavior indices using the power law model.

c$.$ Derive and expression which gives you $K$ and $n$ from ${}_p$ and $T_y.$