PO.VFP.Liq.Pin
Description
Calculates inlet pipe pressure for single phase pipe flow of incompressible, Newtonian fluid, [psi].
Syntax
=PO.VFP.Liq.Pin(Ql, P_out, Rho_l, Ul, pipe_ID, pipe_length, pipe_roughness, pipe_angle)Parameters
| Parameter | Description |
|---|---|
| Ql | Liquid rate, [bbl/D]. |
| P_out | Outlet pipe pressure, [psi]. |
| Rho_l | Liquid density, [lb/ft3]. |
| Ul | Liquid viscosity, [cP]. |
| pipe_ID | Pipe inner diameter, [in]. |
| pipe_length | Pipe length, [ft]. |
| pipe_roughness | Pipe relative roughness, [dimensionless]. |
| pipe_angle | Pipe angle from horizontal, [degrees]. Horizontal flow: angle = 0; Vertical well producer: angle = 90; Vertical well injector: angle = -90. |
SI Unit Version
Lambda Name
PO.VFP.Liq.Pin.SIFormula
=LAMBDA(Ql, P_out, Rho_l, Ul, pipe_ID, pipe_length, pipe_roughness, pipe_angle, LET(
Ql_bbld, PO.UnitConverter(Ql, "m3/d", "bbl/d"),
P_out_psi, PO.UnitConverter(P_out, "kPa", "psi"),
Rho_l_lbft3, PO.UnitConverter(Rho_l, "kg/m3", "lb/ft3"),
pipe_ID_in, PO.UnitConverter(pipe_ID, "cm", "in"),
pipe_length_ft, PO.UnitConverter(pipe_length, "m", "ft"),
result_psi, PO.VFP.Liq.Pin(Ql_bbld, P_out_psi, Rho_l_lbft3, Ul, pipe_ID_in, pipe_length_ft, pipe_roughness, pipe_angle),
PO.UnitConverter(result_psi, "psi", "kPa")))SI Parameters
| Parameter | Unit | Description |
|---|---|---|
Ql |
m3/d | Liquid rate, [m3/d] |
P_out |
kPa | Outlet pipe pressure, [kPa] |
Rho_l |
kg/m3 | Liquid density, [kg/m3] |
Ul |
- | Liquid viscosity, [cP] |
pipe_ID |
cm | Pipe inner diameter, [cm] |
pipe_length |
m | Pipe length, [m] |
pipe_roughness |
- | Pipe relative roughness, [dimensionless] |
pipe_angle |
- | Pipe angle from horizontal, [degrees]. Horizontal flow: angle = 0; Vertical well producer: angle = 90; Vertical well injector: angle = -90 |
How to save as a reusable Excel function
LAMBDA is a built-in Excel feature (Microsoft 365) that lets you create custom functions without VBA. The formula above works as-is when pasted into a cell.
To save a LAMBDA as a reusable named function:
- Go to Formulas → Name Manager → New
- Enter a name, e.g.
PO.VFP.Liq.Pin.SI - In Refers to, paste the LAMBDA formula without the trailing invocation
(...) - Click OK
Now use =PO.VFP.Liq.Pin.SI(...) anywhere in your workbook.