Predicting the Onset of Cavitation in Automotive Torque Converters—Part II: A Generalized Model

Table 4

Summary of RS models by torque converter population excluding regression coefficients.

Population	Response surface model
Geometric scaling	𝑇𝑠,𝑖𝐷^3𝑝ave=𝑏0+𝑏1(Δ𝑝𝑝ave)^2+𝑏2(𝑃𝑟)^2.
Multiple torus design	𝑇𝑠,𝑖𝐷^3𝑝ave=𝑏0+𝑏1(Δ𝑝𝑝ave)+𝑏2(𝐿𝑡𝐷)^2+𝑏3(𝐿𝑡𝐷)(Δ𝑝𝑝ave)+𝑏4(𝐿𝑡𝐷)(𝑃𝑟)+𝑏5(𝑛sb)(Δ𝑝𝑝ave).
Multiple pump and stator design	𝑇𝑠,𝑖𝐷^3𝑝ave=𝑏0+𝑏1(𝑡max𝑙𝑐)+𝑏2(𝑈)^2+𝑏3(TR)^2+𝑏4(𝑛sb)^2+𝑏5(Δ𝑝𝑝ave)^2+𝑏6(𝑃𝑟)^2+𝑏7(𝑈)(TR)+𝑏8𝑡(𝑈)(^max𝑙𝑐)+𝑏9(𝑛sb𝑡)(^max𝑙𝑐).
General torque converter design	𝑇𝑠,𝑖𝐷^3𝑝ave=𝑏0+𝑏1(𝐿𝑡𝐷)+𝑏2(𝑈)+𝑏3(TR)+𝑏4(𝑛sb)+𝑏5(𝑡max𝑙𝑐)+𝑏6(𝐿𝑡𝐷)^2+𝑏7(𝑛sb)^2+𝑏8(𝑡max𝑙𝑐)^2+𝑏9(Δ𝑝𝑝ave)^2+𝑏10(𝑃𝑟)^2+𝑏11(𝐿𝑡𝐷)(𝑛sb)+𝑏12(𝐿𝑡𝐷𝑡)(^max𝑙𝑐)+𝑏13(𝑈)(TR)+𝑏14(𝑈)(𝑛sb)+𝑏15𝑡(𝑈)(^max𝑙𝑐)+𝑏16(TR)(𝑛sb)+𝑏17𝑡(TR)(^max𝑙𝑐)+𝑏18(𝑛sb𝑡)(^max𝑙𝑐).