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Date of download: 10/15/2017 Copyright © ASME. All rights reserved.

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1 Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: Effect of Temperature Jump on Nonequilibrium Entropy Generation in a MOSFET Transistor Using Dual-Phase-Lagging Model J. Heat Transfer. 2017;139(12): doi: / Figure Legend: Schematic drawing of device geometry and boundary conditions simulated in this paper: The nanoscale heat source embedded in the substrate, which is similar to the heat generation and transport in the MOSFET device

2 Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: Effect of Temperature Jump on Nonequilibrium Entropy Generation in a MOSFET Transistor Using Dual-Phase-Lagging Model J. Heat Transfer. 2017;139(12): doi: / Figure Legend: Quadratic rectangular element (left) and shape functions φ(x, y) on the [0 1] × [0 1] (right)

3 Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: Effect of Temperature Jump on Nonequilibrium Entropy Generation in a MOSFET Transistor Using Dual-Phase-Lagging Model J. Heat Transfer. 2017;139(12): doi: / Figure Legend: Generated gird

4 Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: Effect of Temperature Jump on Nonequilibrium Entropy Generation in a MOSFET Transistor Using Dual-Phase-Lagging Model J. Heat Transfer. 2017;139(12): doi: / Figure Legend: Comparison of temperature distribution obtained from the finite element method with results of Saghatchi and Ghazanfarian [41] for Kn = 0.1 at t* = 10

5 Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: Effect of Temperature Jump on Nonequilibrium Entropy Generation in a MOSFET Transistor Using Dual-Phase-Lagging Model J. Heat Transfer. 2017;139(12): doi: / Figure Legend: Comparison of transient temperature distribution at the centerline using the Boltzmann equation, the ballistic-diffusive equations, and the DPL model for Kn = 10 at t* = 1

6 Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: Effect of Temperature Jump on Nonequilibrium Entropy Generation in a MOSFET Transistor Using Dual-Phase-Lagging Model J. Heat Transfer. 2017;139(12): doi: / Figure Legend: Comparison of transient entropy production distribution at the centerline using the DPL heat conduction model without and with temperature boundary condition for Kn = 0.1 and Ω = 0.4

7 Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: Effect of Temperature Jump on Nonequilibrium Entropy Generation in a MOSFET Transistor Using Dual-Phase-Lagging Model J. Heat Transfer. 2017;139(12): doi: / Figure Legend: Comparison of transient entropy production distribution at the centerline using the DPL heat conduction model without and with temperature boundary condition for Kn = 1 and Ω = 0.4

8 Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: Effect of Temperature Jump on Nonequilibrium Entropy Generation in a MOSFET Transistor Using Dual-Phase-Lagging Model J. Heat Transfer. 2017;139(12): doi: / Figure Legend: Comparison of transient entropy production distribution at the centerline using the DPL heat conduction model with and without temperature jump boundary condition for Kn = 10 and Ω = 0.4

9 Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: Effect of Temperature Jump on Nonequilibrium Entropy Generation in a MOSFET Transistor Using Dual-Phase-Lagging Model J. Heat Transfer. 2017;139(12): doi: / Figure Legend: Transient total entropy generation inside the transistor with and without jump boundary condition for different Knudsen numbers for Ω = 0.4: (a) Kn = 0.1, (b) Kn = 1, and (c) Kn = 10

10 Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: Effect of Temperature Jump on Nonequilibrium Entropy Generation in a MOSFET Transistor Using Dual-Phase-Lagging Model J. Heat Transfer. 2017;139(12): doi: / Figure Legend: Total entropy productions as a function of Knudsen number. Two data sets are from simulation (square) and curve-fitting (line).

11 Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: Effect of Temperature Jump on Nonequilibrium Entropy Generation in a MOSFET Transistor Using Dual-Phase-Lagging Model J. Heat Transfer. 2017;139(12): doi: / Figure Legend: Distribution of total entropy generation due to heat transfer as a function of Knudsen number and Ω factor at t* = 100: (a) without a temperature-jump boundary condition and (b) with a temperature-jump boundary condition

12 Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: Effect of Temperature Jump on Nonequilibrium Entropy Generation in a MOSFET Transistor Using Dual-Phase-Lagging Model J. Heat Transfer. 2017;139(12): doi: / Figure Legend: Comparison of results of BDE, BTE, Fourier law, and present DPL model, heat flux distribution on the centerline of transistor at t = 10 ps inside the transistor

13 Date of download: 10/15/2017 Copyright © ASME. All rights reserved. From: Effect of Temperature Jump on Nonequilibrium Entropy Generation in a MOSFET Transistor Using Dual-Phase-Lagging Model J. Heat Transfer. 2017;139(12): doi: / Figure Legend: Comparison of the evolution of the total equilibrium and the nonequilibrium entropy production inside the transistor


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