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Pressure-gradient force
The pressure-gradient force is a force that arises due to the gradient of pressure. It is called so because it takes the form of the gradient of pressure.From: Classical Mechanics in Geophysical Fluid Dynamics [2019]
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Pressure differences in the lower atmosphere occur along a gradient in the horizontal dimension. The force associated with these differences is called the pressure gradient force. The nature of PGFs can be seen from weather maps on which lines of equal pressure (isobars) are plotted (Figure 1.9). The spacing of isobars describes pressure gradients. Isobars relatively close together indicate a strong or steep pressure gradient with high associated winds. If these isobars were contour intervals, they would describe steep or mountainous terrain. Isobars relatively far apart are characterized by small pressure gradients and light winds. The PGF is directed perpendicular to isobars from high to low pressure.
Numerical simulation on critical heat flux of downward-facing surface with modified wall boiling model
When the fluid flows through the curved flow channel, the velocity difference between the inside and the outside of the flow channel cross-section generates a pressure difference, resulting in a radial pressure gradient force.
where Rc is the curvature radius of the heating wall.