Nusselt Number expression for trapezoidal cross-section

Naveen Cheruku · June 18, 2018, 10:18

Hello all,

I am working on heat simulation(in star ccm+) in which I need to find the heat distribution between hot gas(355K) and coolant(300K) which are flowing in two trapezoidal cross-sectional channels. In this, I need to formulate convective heat transfer coefficient h from nusselt number equation as below
Nu= hD/k
=> h=Nu*k/D

so my issue here is to find an expression for the Nusselt number, which we have some standard equations for the circular cross-sections but not for trapezoidal c/s. Can any one help me on this, how to find the nusselt number expression for the trapezoidal c/s.

Here is my flow details:
Forced Convection
Laminar flow

Thanks in advance!

me3840 · July 18, 2018, 02:39

For non-circular cross sections you can use the hydraulic diameter instead of the physical diameter.

June 18, 2018, 10:18	Nusselt Number expression for trapezoidal cross-section	#1
Naveen Cheruku New Member Naveen Join Date: May 2018 Posts: 2 Rep Power: 0	Hello all, I am working on heat simulation(in star ccm+) in which I need to find the heat distribution between hot gas(355K) and coolant(300K) which are flowing in two trapezoidal cross-sectional channels. In this, I need to formulate convective heat transfer coefficient h from nusselt number equation as below Nu= hD/k => h=Nu*k/D so my issue here is to find an expression for the Nusselt number, which we have some standard equations for the circular cross-sections but not for trapezoidal c/s. Can any one help me on this, how to find the nusselt number expression for the trapezoidal c/s. Here is my flow details: Forced Convection Laminar flow Thanks in advance!

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July 18, 2018, 02:39		#2
me3840 Senior Member Join Date: Nov 2010 Location: USA Posts: 1,232 Rep Power: 24	For non-circular cross sections you can use the hydraulic diameter instead of the physical diameter.