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10
                      9

                      8
                      7
                      6
                 θ +  5

                      4
                      3
                      2
                      1

                      0
                        −1          0          1           2           3
                      10          10         10          10          10
                                                y +
           Fig. 6.1.2.9 Mean temperature profiles for the turbulent channel flow at Re τ ¼ 2000: LES Pr ¼
           0.01 (solid), LES Pr ¼ 0.025 (thick dash). The theoretical near-wall molecular behavior,
                  +
            +
           θ ¼ Pr y , is also displayed for Pr ¼ 0.01 (thin dash) and 0.025 (thin dash-dot).
           (From Duponcheel, M., Bricteux, L., Manconi, M., Winckelmans, G., Bartosiewicz, Y., 2014.
           Assessment of RANS and improved near-wall modeling for forced convection at low Prandtl
           numbers based on LES up to Re τ ¼ 2000. Int. J. Heat Mass Transf. 75 (2), 470–482.)

                     1.2


                      1
                                  ¯ q +
                     0.8

                 q +  0.6         ¯ q +
                                   M

                     0.4

                     0.2          ¯ q t +


                      0
                       0          500         1000        1500       2000
                                               y +

           Fig. 6.1.2.10 Heat flux decomposition for the turbulent channel flow at Pr ¼ 0.01 and Re τ ¼
                                                                   0 +
                                     1
                                +
                                        +
                                                             +
                                            +
                                                                  0
           2000. Molecular heat flux q ¼ Pr dθ =dy , turbulent heat flux q ¼ v θ , and total heat
                               M                            t
                    +
                        +
                +
           flux q ¼ q + q (solid thick).
                       t
                    M
           (From Duponcheel, M., Bricteux, L., Manconi, M., Winckelmans, G., Bartosiewicz, Y., 2014.
           Assessment of RANS and improved near-wall modeling for forced convection at low Prandtl
           numbers based on LES up to Re τ ¼ 2000. Int. J. Heat Mass Transf. 75 (2), 470–482.)
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