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Profiles of temperature and velocity at  y  =   0.5 with Ra   =   1.84 × 10...
Published Online: February 6, 2023
Fig. 2 Profiles of temperature and velocity at y  =   0.5 with Ra   =   1.84 × 10 9 , Pr   =   100, s  =   0, and α  = 20 deg More
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Time series of temperature at the monitoring point ( x  =   0.00417,  y  = ...
Published Online: February 6, 2023
Fig. 3 Time series of temperature at the monitoring point ( x  =   0.00417, y  =   0.5) at Ra   =   1.84 × 10 9 , Pr   =   100, s  =   0, and α  = 20 deg More
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Steady-state boundary layer thickness compared against previous flow visual...
Published Online: February 6, 2023
Fig. 4 Steady-state boundary layer thickness compared against previous flow visualization experiment [ 38 ] at α  = 0 deg and τ  = 2.123: ( a ) shadowgraph image, ( b ) the present numerical isotherms, and ( c ) comparison of the two data clusters More
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Temperature profiles at different Pr,  s ,  α , and  y  atRa   =   1.84 × 1...
Published Online: February 6, 2023
Fig. 5 Temperature profiles at different Pr, s , α , and y atRa   =   1.84 × 10 9 in the startup stage: ( a ) raw data and ( b )(1 +  θ f  +  θ w )/[ θ w ( y ) + 1] plotted against x / τ 1/2 More
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Time series of  δ θ  / δ θsy   against  τ  1/2 [(1 − 0.5 s  +   2 sy ) cos(...
Published Online: February 6, 2023
Fig. 6 Time series of δ θ / δ θsy against τ 1/2 [(1 − 0.5 s  +   2 sy ) cos( α )] 1/4 y −1/4 /(1 + Pr −1/2 ) 1/2 at different Ra, Pr, s , α , and y More
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Velocity profiles at different Pr,  s ,  α , and  y  with Ra   =   1.84 × 1...
Published Online: February 6, 2023
Fig. 7 Velocity profiles at different Pr, s , α , and y with Ra   =   1.84 × 10 9 in the initial growth stage: ( a ) raw data, ( b ) v (1 + Pr −1/2 ) 2 / τ (1 − 0.5  s  +  sy )cos( α ) plot against x (1 + Pr −1/2 )/ τ 1/2 More
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Time series of  v m  / v msy   against  τ  [(1 − 0.5 s  +   2 sy ) cos( α )...
Published Online: February 6, 2023
Fig. 8 Time series of v m / v msy against τ [(1 − 0.5 s  +   2 sy ) cos( α )] 1/2 y −1/2 /(1 + Pr −1/2 ) at different Ra, Pr, s , α , and y More
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Velocity profiles at different Pr,  s ,  α , and  y  at Ra   =   1.84 × 10 ...
Published Online: February 6, 2023
Fig. 9 Velocity profiles at different Pr, s , α , and y at Ra   =   1.84 × 10 9 in the steady stage: ( a ) raw data, ( b ) v (1 + Pr −1/2 ) (1 − 0.5 s  +   2 sy ) 1/2 y −1/2 cos −1/2 ( α )/(1 − 0.5 s  +  sy ) plotted against x (1 + Pr −1/2 ) 1/2 (1 − 0.5 s  +   2 sy ) 1/4 cos 1/4 ( α )/ y... More
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Ra −1/4 (1 + Pr −1/2 ) 1/2  y  1/4 cos −1/4 ( α )/(1 − 0.5 s  +   2 sy ) 1/...
Published Online: February 6, 2023
Fig. 10 Ra −1/4 (1 + Pr −1/2 ) 1/2 y 1/4 cos −1/4 ( α )/(1 − 0.5 s  +   2 sy ) 1/4 plotted against the DNS-obtained δ sy in the steady stage More
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(1 + Pr −1/2 ) −1 (1 − 0.5 s  +  sy ) y  1/2 cos 1/2 ( α )/(1 − 0.5 s  +  2...
Published Online: February 6, 2023
Fig. 11 (1 + Pr −1/2 ) −1 (1 − 0.5 s  +  sy ) y 1/2 cos 1/2 ( α )/(1 − 0.5 s +  2sy ) 1/2 plotted against the DNS-obtained v msy in the steady stage More
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δ θ /δ θsy   against a normalized time  τ  1/2 (1 − 0.5 s  +   2 sy ) 1/4  ...
Published Online: February 6, 2023
Fig. 12 δ θ /δ θsy against a normalized time τ 1/2 (1 − 0.5 s  +   2 sy ) 1/4 y −1/4 cos 1/4 ( α )/(1 + Pr −1 ) 1/4 at different Ra, Pr, s , α , and y More
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Ra −1/4 (1 + Pr −1 ) 1/4 (1 − 0.5 s  +   2 sy ) −1/4  y  1/4 cos −1/4 ( α )...
Published Online: February 6, 2023
Fig. 13 Ra −1/4 (1 + Pr −1 ) 1/4 (1 − 0.5 s  +   2 sy ) −1/4 y 1/4 cos −1/4 ( α ) plotted against the DNS-obtained δ θsy More
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v / v msy   against a normalized time  τ  (1 − 0.5  s  +   2 sy ) 1/2  y  −...
Published Online: February 6, 2023
Fig. 14 v / v msy against a normalized time τ (1 − 0.5  s  +   2 sy ) 1/2 y −1/2 cos 1/2 ( α )/(1 + Pr −1 ) 1/2 at different Ra, Pr, s , α , and y More
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DNS obtained  v msy   against (1 + Pr −1 ) −1/2 (1 − 0.5 s  +  sy ) y  1/2 ...
Published Online: February 6, 2023
Fig. 15 DNS obtained v msy against (1 + Pr −1 ) −1/2 (1 − 0.5 s  +  sy ) y 1/2 cos 1/2 ( α )/(1 − 0.5 s  +   2 sy ) 1/2 More
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