Richardson Number (thermal convection)

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Jul 24, 2020, 6:28:07 PM

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Aug 16, 2016, 5:31:28 PM

R i = \frac{g \cdot β (T_{h o t} - T_{r e f}) L}{V^{2}}

$Ri = (g* beta ( T_(hot) - T_(ref) )L)/ V ^2$

(β) thermal expansion coefficient in 1/K

$(beta)"thermal expansion coefficient in 1/K"$

(T_{h o t}) hot wall temperature

$(T_(hot))"hot wall temperature"$

(T_{r e f}) reference temperature

$(T_(ref))"reference temperature"$

(L) characteristic length

$(L)"characteristic length"$

(V) characteristic velocity

$(V)"characteristic velocity"$

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The Richardson Number (thermal convection) is the dimensionless number that expresses the ratio of the buoyancy term to the flow gradient term. It is of practical importance in weather forecasting and in investigating density and turbidity currents in oceans, lakes, and reservoirs. In thermal convection problems, the Richardson number represents the importance of natural convection relative to forced convection. In this context, the Richardson number is defined as $R i = \frac{g β (T_{h o t} - T_{r e f}) L}{V^{2}}$ $Ri=(gbeta(T_(hot)-T_(ref))L)/V^2$ , where:

$g$ $g$ = gravitational acceleration
$β$ $beta$ = thermal expansion coefficient
$T_{h o t}$ $T_(hot)$ = hot wall temperature
$T_{r e f}$ $T_(ref)$ = reference temperature
$L$ $L$ = characteristic length
$V$ $V$ = characteristic velocity

References

Wikipedia (https://en.wikipedia.org/wiki/Richardson_number)

This equation, Richardson Number (thermal convection), references 1 page

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• Gravitational acceleration by Anastase

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Richardson Number (thermal convection)

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