A numerical framework for heat transfer and pressure loss estimation of matrix cooling geometry in stationary and rotational states

Figures & data

Figure 1. Matrix geometry and one flow path.

Table 1. Summary of studied cases.

Studied cases	Reynolds number	Rotation number
#Case 1	6000	0
#Case 2	8000	0
#Case 3	10,000	0
#Case 4	12,000	0
#Case 5	6000	0.05
#Case 6	8000	0.05
#Case 7	10,000	0.05
#Case 8	12,000	0.05
#Case 9	6000	0.15
#Case 10	8000	0.15
#Case 11	10,000	0.15
#Case 12	12,000	0.15
#Case 13	6000	0.25
#Case 14	8000	0.25
#Case 15	10,000	0.25
#Case 16	120,000	0.25

Figure 2. Sub-channel numbering for the top-layered channel of the matrix geometry.

Figure 3. Top and bottom surfaces in stationary and rotation cases.

Figure 4. Details of rotational case about (a) the rotation axis and direction of rotation and (b) leading and trailing surfaces.

Figure 5. Geometrical dimensions in different views of matrix geometry.

Table 2. Dimension of test geometry.

W	H	L	$n_{\mathrm{sub}}$	P	e	$\beta$	$h_{\mathrm{sub}}$
52 mm	30 mm	180 mm	4	11 mm	1.5 mm	${45}^{°}$	15 mm

Figure 6. Nusselt number ratio comparison with Carcasci [10] and Saha [13] for different Reynolds number.

Figure 7. Friction factor ratio for different Reynolds number.

Figure 8. Temperature distribution for (a) top surface and (b) bottom surface of matrix geometry in stationary state.

Figure 9. Variation of Nu number ratio as function of dimensionless width in each sub-channel for (a) top surface and (b) bottom surface of matrix geometry in stationary state.

Figure 10. Nusselt number ratio for different Reynolds numbers in static case.

Figure 11. Friction factor ratio for different Reynolds numbers in static case.

Figure 12. Thermal performance for different Reynolds numbers in static case.

Figure 13. Temperature distribution contours in the Rotary rectangular channel with matrix geometry for (a) top surface and (b) bottom surface.

Figure 14. Variation of Nu number ratio as function of dimensionless width in each sub-channels for (a) top surface and (b) bottom surface of matrix geometry in rotary state.

Figure 15. Variation of Nu number ratio as function of rotation number for various Reynolds number in (a) top surface and (b) bottom surface of matrix geometry in rotary state.

Figure 16. Variation of friction factor ratio as function of Reynolds number for various rotation numbers in the middle region of two surfaces.

Figure 17. Variation of thermal performance as function of Reynolds number for various rotation number in the middle region of two surfaces.

C. Carcasci B. Facchini, M. Pievaroli, L. Tarchi, A. Ceccherini, and L. Innocenti, “Heat transfer and pressure loss measurements of matrix cooling geometries for gas turbine airfoils,” ASME J. Turbomachinery, vol. 136, no. 12, pp. 121005 (1–8), 2014.

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K. Saha, S. Acharya, and C. Nakamata, “Heat transfer enhancement and thermal performance of lattice structures for internal cooling of airfoil trailing edges,” ASME J. Thermal Sci. Eng. Appl., vol. 5, no. 1, pp. 011001 (1–9), 2013.

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