{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# 7.17 Sizing of Pump for Oil Pipelines" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Crude oil (30 degree API) at 15.6 C with a viscosity of 75 Universal Saybolt seconds flows down a 12\" Schedule 30 steel pipe with a flow rate of 1900 barrels/hour.\n", "\n", "The pipeline is 50 miles long, and the net elevation change is an increase of 2000 feet above the initial pump. The pump has an efficiency of 67%.\n", "\n", "Calculate the brake horsepower of the pump." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "24364.090937022276 dimensionless\n", "0.02511025708497868 dimensionless\n", "head = 3413.763958141052 foot\n", "power = 1499.9449484211073 horsepower\n" ] } ], "source": [ "from fluids.units import *\n", "from math import pi\n", "L = 50*u.miles\n", "dH = 2000*u.foot\n", "efficiency = 0.67\n", "\n", "# Note in pint the default barrel is for US dry barrel\n", "Q = 1900*u.oil_barrel/u.hour\n", "mu = 12.5*u.cP\n", "rho = 54.64*u.lb/u.ft**3\n", "\n", "NPS, Di, Do, t = nearest_pipe(NPS=12, schedule='30')\n", "\n", "A = 0.25*pi*Di**2\n", "v = Q/A\n", "Re = rho*v*Di/mu\n", "print(Re.to_base_units())\n", "fd = friction_factor(Re=Re, eD=0.0022*u.inch/Di)\n", "print(fd)\n", "\n", "K_tot = K_from_f(fd=fd, L=L, D=Di)\n", "dP = dP_from_K(K=K_tot, rho=rho, V=v) + rho*dH*1*u.gravity\n", "dP.to(u.psi), v.to(u.foot/u.s)\n", "\n", "head = head_from_P(dP, rho).to(u.foot)\n", "print('head = %s' %head)\n", "power = Q*dP/efficiency\n", "print('power = %s' %(power.to(u.hp)))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The listed values are 3406.5 feet and 1496 hp, however a shortcut formula is used there." ] } ], "metadata": { "language_info": { "name": "python" } }, "nbformat": 4, "nbformat_minor": 1 }