What is sieder Tate equation?
This equation validates tubes over a large Reynolds number range, including the transition region. The Darcy friction factor, f, is a dimensionless quantity used in the Darcy–Weisbach equation for the description of frictional losses in pipe or duct as well as for open-channel flow.
What is dittus-Boelter equation?
The Dittus–Boelter equation (for turbulent flow) is an explicit function for calculating the Nusselt number. The Nusselt number is the ratio of convective to conductive heat transfer across (normal to) the boundary.
What is sieder Tate correlation?
Sieder–Tate correlation ) due to temperature change between the bulk fluid average temperature and the heat transfer surface temperature, respectively. The Sieder–Tate correlation is normally solved by an iterative process, as the viscosity factor will change as the Nusselt number changes.
How do you find the Nusselt number for turbulent flow?
For fully developed (hydrodynamically and thermally) turbulent flow in a smooth circular tube, the local Nusselt number may be obtained from the well-known Dittus-Boelter equation. To calculate the Nusselt number, we have to know: the Reynolds number, which is ReDh = 575600. the Prandtl number, which is Pr = 0.89.
How is Grashof number calculated?
GRASHOF NUMBER
- g = acceleration due to gravity, m s−2
- l = representative dimension, m.
- ξ = coefficient of expansion of the fluid, K−1
- ΔT = temperature difference between the surface and the bulk of the fluid, K.
- ν = kinematic viscosity of the fluid, m2s−1 .
What is Reynolds number for turbulent flow?
Whenever the Reynolds number is less than about 2,000, flow in a pipe is generally laminar, whereas, at values greater than 2,000, flow is usually turbulent.
What is the dittus Boelter correlation?
Dittus-Boelter correlation (Eq. 1.74) is the first heat transfer correlation for turbulent flow inside smooth pipes, and this correlation is used in pipes with L D ≥ 60 and fluid with 0.7–100 Pr values and Re > 10,000 [5]: (1.74)
Where did the dittus and Boelter equation come from?
The following note further investigates Winterton’s claim and finds conclusive evidence that the Dittus and Boelter equation did indeed originate with McAdams.
How do you define Stanton number for mass transfer?
The Stanton number, St, is a dimensionless number that measures the ratio of heat transferred into a fluid to the thermal capacity of fluid. The Stanton number is named after Thomas Stanton (engineer) (1865–1931). It is used to characterize heat transfer in forced convection flows.
What is the correct formula for the Nusselt number?
the Nusselt number, which is NuDh = 890. the hydraulic diameter of the fuel channel is Dh = 13,85 mm. the thermal conductivity of reactor coolant (300°C) is: kH2O = 0.545 W/m.K. the bulk temperature of reactor coolant at this axial coordinate is Tbulk = 296°C.
What is the Dittus-Boelter equation for turbulent flow?
The Dittus-Boelter equation (for turbulent flow) is an explicit function for calculating the Nusselt number. It is easy to solve but is less accurate when there is a large temperature difference across the fluid. It is tailored to smooth tubes, so use for rough tubes (most commercial applications) is cautioned. The Dittus-Boelter equation is:
Does Seider-Tate apply to turbulent fluids?
Seider-Tate applies to “normal” fluids in turbulent flow in long, straight pipes, so: Multiplicative correction factors are available to adjust for the entrance/exit consequences of short tubes: and for pipe curvature
Is the Sieder-Tate correlation for turbulent flow an implicit or explicit function?
The Sieder-Tate correlation for turbulent flow is an implicit function, as it analyzes the system as a nonlinear boundary value problem. The Sieder-Tate result can be more accurate as it takes into account the change in viscosity (
What is the Nusselt number of a turbulent flow?
A larger Nusselt number corresponds to more active convection, with turbulent flow typically in the 100–1000 range. The Nusselt number is named after Wilhelm Nusselt, who made significant contributions to the science of convective heat transfer.