Slow solar wind modeling of the Metis/Solar Orbiter – Parker Solar Probe quadrature

In January 2021, Metis/SolO and PSP formed a quadrature from which the slow solar wind was able to be measured from the extended solar corona (3.5 – 6.3 R_⊙) to the very inner heliosphere (23.2 R_⊙). Metis/SolO remotely measured the coronal solar wind, finding a speed of 96 – 201 kms⁻¹, and PSP measured the solar wind in situ, finding a speed of 219.34 kms⁻¹. Similarly, the normalized cross-helicity and the normalized residual energy measured by PSP are 0.96 and -0.07. In this manuscript, we study the evolution of the proton entropy and the turbulence cascade rate of the outward Elsässer energy during this quadrature. We also study the relationship between solar wind speed, density and temperature, and their relationship with the turbulence energy, the turbulence cascade rate, and the solar wind proton entropy. We compare the theoretical results with the observed results measured by Metis/SolO and PSP.