To calculate the flow rate of mineral oil at different temperatures, considering both specific gravity and viscosity changes, the equation you've provided is only partially correct. This equation accounts for changes in specific gravity but doesn't consider viscosity.
To include viscosity, you should use the Darcy-Weisbach or Hagen-Poiseuille equation, where flow rate Q depends on both density (related to specific gravity) and viscosity.
Specific Gravity (SG): As temperature increases, SG decreases.
Viscosity (μ): As temperature increases, viscosity decreases.
So, basically here how you need to approach your problem:
1. Determine the Reynolds number: This dimensionless number helps identify the flow regime (laminar, transitional, or turbulent). For laminar flow, viscosity plays a more significant role, while in turbulent flow, density (specific gravity) dominates.
2. Adjust the Darcy-Weisbach or Hagen-Poiseuille equation: These equations consider both viscosity and density.
Revised Flow Rate Calculation:
For laminar flow: Q ∝ 1/μ
For turbulent flow (common in most industrial applications):
Q2=Q1 (SG1/SG2)^0.5 x (μ1/μ2)^n
Where
n depends on the flow regime:
n=1 for fully turbulent flow.
n=0 for laminar flow.
Calculate the specific gravity and viscosity at 50°C and 60°C.
Plug these values into the above equation.
Reference:
"Perry's Chemical Engineers' Handbook" by Don W. Green and Marylee Z. Southard
Chapter 6: Fluid and Particle Dynamics specifically covers the impact of viscosity, density, and flow rates in various fluid flow scenarios.
R.Efendy
