SQ_EDGE_GRILL
Overview
Calculate the loss coefficient for a square edged grill or perforated plate.
Excel Usage
=SQ_EDGE_GRILL(alpha, l, Dh, fd)
alpha(float, required): Fraction of grill open to flow, [-]l(float, optional, default: null): Thickness of the grill or plate, [m]Dh(float, optional, default: null): Hydraulic diameter of gap in grill, [m]fd(float, optional, default: null): Darcy friction factor, [-]
Returns (float): Loss coefficient K, [-], or error message (str) if input is invalid.
Examples
Example 1: Basic case (alpha=0.45)
Inputs:
| alpha |
|---|
| 0.45 |
Excel formula:
=SQ_EDGE_GRILL(0.45)
Expected output:
| Result |
|---|
| 5.2963 |
Example 2: With friction correction (l, Dh, fd provided)
Inputs:
| alpha | l | Dh | fd |
|---|---|---|---|
| 0.45 | 0.15 | 0.002 | 0.0185 |
Excel formula:
=SQ_EDGE_GRILL(0.45, 0.15, 0.002, 0.0185)
Expected output:
| Result |
|---|
| 12.1481 |
Example 3: Medium open area (alpha=0.6)
Inputs:
| alpha |
|---|
| 0.6 |
Excel formula:
=SQ_EDGE_GRILL(0.6)
Expected output:
| Result |
|---|
| 2.3333 |
Example 4: High open area (alpha=0.8)
Inputs:
| alpha |
|---|
| 0.8 |
Excel formula:
=SQ_EDGE_GRILL(0.8)
Expected output:
| Result |
|---|
| 0.7187 |
Python Code
import micropip
await micropip.install(["fluids"])
from fluids.filters import square_edge_grill as fluids_square_edge_grill
def sq_edge_grill(alpha, l=None, Dh=None, fd=None):
"""
Calculate the loss coefficient for a square edged grill or perforated plate.
See: https://fluids.readthedocs.io/fluids.filters.html#fluids.filters.square_edge_grill
This example function is provided as-is without any representation of accuracy.
Args:
alpha (float): Fraction of grill open to flow, [-]
l (float, optional): Thickness of the grill or plate, [m] Default is None.
Dh (float, optional): Hydraulic diameter of gap in grill, [m] Default is None.
fd (float, optional): Darcy friction factor, [-] Default is None.
Returns:
float: Loss coefficient K, [-], or error message (str) if input is invalid.
"""
# Validate and convert alpha
try:
alpha = float(alpha)
except (ValueError, TypeError):
return "Error: Alpha must be a number."
# Validate alpha range
if alpha <= 0 or alpha > 1:
return "Error: Alpha must be between 0 and 1."
# Validate and convert optional parameters
if l is not None:
try:
l = float(l)
except (ValueError, TypeError):
return "Error: l must be a number."
if l <= 0:
return "Error: l must be positive."
if Dh is not None:
try:
Dh = float(Dh)
except (ValueError, TypeError):
return "Error: Dh must be a number."
if Dh <= 0:
return "Error: Dh must be positive."
if fd is not None:
try:
fd = float(fd)
except (ValueError, TypeError):
return "Error: fd must be a number."
if fd <= 0:
return "Error: fd must be positive."
try:
result = fluids_square_edge_grill(alpha=alpha, l=l, Dh=Dh, fd=fd)
if result != result: # NaN check
return "nan"
if result == float('inf'):
return "inf"
if result == float('-inf'):
return "-inf"
return float(result)
except Exception as e:
return f"Error computing square_edge_grill: {str(e)}"