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      KCI우수등재

      THE STABILITY OF GAUGE-UZAWA METHOD TO SOLVE NANOFLUID

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      https://www.riss.kr/link?id=A106931830

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      다국어 초록 (Multilingual Abstract)

      Nanofluids is the fluids mixed with nanoscale particles and the mixed nano size materials affect heat transport. Researchers in this field has been focused on modeling and numerical computation by engineers In this paper, we analyze stability constrai...

      Nanofluids is the fluids mixed with nanoscale particles and the mixed nano size materials affect heat transport. Researchers in this field has been focused on modeling and numerical computation by engineers In this paper, we analyze stability constraint of the dominant equations and check validate of the condition for most kinds of materials. So we mathematically analyze stability of the system. Also we apply Gauge-Uzawa algorithm to solve the system and prove stability of the method.

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      참고문헌 (Reference)

      1 C.T. Nguyen, "Viscosity data for Al2O3-water nanofluid–hysteresis: is heat transfer enhancement using nanofluids reliable?" 47 (47): 103-111, 2008

      2 R.L. Hamilton, "Thermal conductivity of heterogeneous two-component systems" 1 (1): 187-191, 1962

      3 H.C. Brinkman, "The viscosity of concentrated suspensions and solutions" 20 (20): 571-571, 1952

      4 R.H. Nochetto, "The gauge-Uzawa finite element method. part I: the Navier-Stokes equations" 43 (43): 1043-1068, 2005

      5 G.K. Batchelor, "The effect of Brownian motion on the bulk stress in a suspension of spherical particles" 83 (83): 97-117, 1977

      6 C.T. Nguyen, "Temperature and particle-size dependent viscosity data for water-based nanofluids–Hysteresis phenomenon" 28 (28): 1492-1506, 2007

      7 R. Temam, "Sur l’approximation de la solution des ´equations de Navier-Stokes par la m´ethode des pas fractionnaires (II)" 33 (33): 377-385, 1969

      8 M.M. Rahman, "Radiative heat transfer in a hydromagnetic nanofluid past a non-linear stretching surface with convective boundary condition" 48 (48): 601-615, 2013

      9 R.S. Vajjha, "Numerical study of fluid dynamic and heat transfer performance of Al2O3 and CuO nanofluids in the flat tubes of a radiator" 31 (31): 613-621, 2010

      10 A.J. Chorin, "Numerical solution of the Navier-Stokes equations" 22 : 745-762, 1968

      1 C.T. Nguyen, "Viscosity data for Al2O3-water nanofluid–hysteresis: is heat transfer enhancement using nanofluids reliable?" 47 (47): 103-111, 2008

      2 R.L. Hamilton, "Thermal conductivity of heterogeneous two-component systems" 1 (1): 187-191, 1962

      3 H.C. Brinkman, "The viscosity of concentrated suspensions and solutions" 20 (20): 571-571, 1952

      4 R.H. Nochetto, "The gauge-Uzawa finite element method. part I: the Navier-Stokes equations" 43 (43): 1043-1068, 2005

      5 G.K. Batchelor, "The effect of Brownian motion on the bulk stress in a suspension of spherical particles" 83 (83): 97-117, 1977

      6 C.T. Nguyen, "Temperature and particle-size dependent viscosity data for water-based nanofluids–Hysteresis phenomenon" 28 (28): 1492-1506, 2007

      7 R. Temam, "Sur l’approximation de la solution des ´equations de Navier-Stokes par la m´ethode des pas fractionnaires (II)" 33 (33): 377-385, 1969

      8 M.M. Rahman, "Radiative heat transfer in a hydromagnetic nanofluid past a non-linear stretching surface with convective boundary condition" 48 (48): 601-615, 2013

      9 R.S. Vajjha, "Numerical study of fluid dynamic and heat transfer performance of Al2O3 and CuO nanofluids in the flat tubes of a radiator" 31 (31): 613-621, 2010

      10 A.J. Chorin, "Numerical solution of the Navier-Stokes equations" 22 : 745-762, 1968

      11 G. Roy, "Numerical investigation of laminar flow and heat transfer in a radial flow cooling system with the use of nanofluids" 35 (35): 497-511, 2004

      12 R. Temam, "Navier-Stokes equations" AMS Chelsea Publishing 2001

      13 M.J. Uddin, "Natural convective heat transfer flow of nanofluids inside a quarter-circular enclosure using nonhomogeneous dynamic model" 42 (42): 1883-1901, 2017

      14 M.A. Sheremet, "Mixed convection in a lid-driven square cavity filled by a nanofluid: Buongiorno’s mathematical model" 266 : 792-808, 2015

      15 Y. Xuan, "Investigation on convective heat transfer and flow features on nanofluids" 125 (125): 151-155, 2003

      16 B.C. Pak, "Hydrodynamic and heat transfer study of dispersed fluids with submicron metallic oxide particles" 11 (11): 151-170, 1998

      17 J.-H. Pyo, "Gauge–Uzawa methods for incompressible flows with variable density" 221 (221): 181-197, 2007

      18 D. Wen, "Experimental investigation into convective heat transfer of nanofluids at the entrance region under laminar flow conditions" 47 (47): 5181-5188, 2004

      19 S.U.S Choi, "Enhancing thermal conductivity of fluids with nanoparticles" 1995

      20 J. Buongiorno, "Convective transport in nanofluids" 128 (128): 240-250, 2006

      21 M.M. Rahman, "Boundary layer flow of a nanofluid past a permeable exponentially shrinking/stretching surface with second order slip using Buongiorno’s model" 77 : 1133-1143, 2014

      22 Y.Xuan, "Aggregation structure and conductivity of nanofluids" 49 (49): 1038-1043, 2003

      23 J.C. Maxwell, "A treatise on electricity and magnetism, Vol I, II" Clarendon Press 1873

      24 R.H. Nochetto, "A finite element gauge-Uzawa method part II : Boussinesq equations" 16 : 1599-1626, 2006

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      학술지 이력

      학술지 이력
      연월일 이력구분 이력상세 등재구분
      2022 평가예정 계속평가 신청대상 (등재유지)
      2017-01-01 평가 우수등재학술지 선정 (계속평가)
      2013-01-01 평가 등재 1차 FAIL (등재유지) KCI등재
      2010-01-01 평가 등재학술지 유지 (등재유지) KCI등재
      2007-01-01 평가 등재학술지 선정 (등재후보2차) KCI등재
      2006-01-01 평가 등재후보 1차 PASS (등재후보1차) KCI등재후보
      2005-10-14 학술지명변경 한글명 : 한국산업응용수학회지 -> Journal of the Korean Society for Industrial and Applied Mathematics KCI등재후보
      2005-05-24 학회명변경 영문명 : 미등록 -> The Korean Society for Industrial and Applied Mathematics KCI등재후보
      2005-03-08 학회명변경 한글명 : 한국산업정보응용수학회 -> 한국산업응용수학회
      영문명 : Korea Society For Industrial And Applied Mathematics -> Korea Society For Industrial And Applied Mathematics
      KCI등재후보
      2004-01-01 평가 등재후보학술지 선정 (신규평가) KCI등재후보
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      학술지 인용정보

      학술지 인용정보
      기준연도 WOS-KCI 통합IF(2년) KCIF(2년) KCIF(3년)
      2016 0.24 0.24 0.18
      KCIF(4년) KCIF(5년) 중심성지수(3년) 즉시성지수
      0.15 0.14 0.41 0
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