Grashof number


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Grashof number

[′gräs‚hȯf ‚nəm·bər]
(fluid mechanics)
A dimensionless number used in the study of free convection of a fluid caused by a hot body, equal to the product of the fluid's coefficient of thermal expansion, the temperature difference between the hot body and the fluid, the cube of a typical dimension of the body and the square of the fluid's density, divided by the square of the fluid's dynamic viscosity. Also known as free convection number.
References in periodicals archive ?
The fluid flow covers the whole domain but it is weak because of lower Grashof number (2*[10.
Effects of the parameters namely Hartmann number M Grashof number Gr heat source parameter N and Prandtl number P have been observed on velocity and temperature distributions.
From Figures 8(c)-8(f) it is apparent that the effect of increasing values of magnetic parameter (M), hall parameter (m), Grashof number (Gr), modified Grashof number (Gm), Rotational parameter (R) and viscosity ratio ([DELTA]) are to decrease the values of couple stress coefficient whereas reverse effect is found on increasing the values of material parameter ([lambda]).
Numerical computation of analytical expressions (20), (31), (34), and (35) of the present problem has been carried out for various values of embedded parameters, namely, dimensionless Jeffrey fluid parameter [lambda], Prandtl number Pr, Grashof number Gr, Hartmann number Ha, radiation parameter Rd, and dimensionless time [tau].
The Reynolds number for free convection requires determination of the Grashof number, which in turn requires the knowledge of the temperature of the PV panel and the ambient temperature.
The effect of Grashof number Gr on temperature d is shown in Figure 22; we observe from this figure that an increase in the value of Grashof number Gr increases the temperature [theta].
Grashof number studies the behavior of free convection and it is defined as the ratio of buoyancy force to viscous force.
where Gr is the thermal Grashof number, L is the fundamental wavelength, p is the dimensionless pressure and [p.
Assuming friction to be negligible, he invoked Bernoulli's equation to predict that the Nusselt number (Nu) is proportional to the product of the square root of the Grashof number (Gr) and the Prandtl number (Pr), where the reference length is the height of the vent.
The range of Grashof Number (Gr) calculated for the given inclination angle is from 2.
where Ec is the Eckert number, Pr is the Prandtl number, Sc is the Schmidt number, Sr is the Soret number, Du is the Dufour number, M is the Magnetic field parameter, Gr is the thermal Grashof number, Gc is the Solutal Grashof number, k is the porous parameter, [b.