Effect of internal heat source on stability analysis of a highly permeable vertical porous channel filled with nanofluid

Journal of Engineering Mathematics - Tập 140 Số 1 - 2023
Dipak Barman1
1Department of Mathematics, National Institute of Technology Warangal, Warangal, India

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Horton CW, Rogers FT Jr (1945) Convection currents in a porous medium. J Appl Phys 16(6):367–370

Lapwood ER (1948) Convection of a fluid in a porous medium. Math Proc Camb Philos Soc 44(4):508–521

Nield DA, Bejan A (2013) Convection in porous media. Springer, New York

Vafai K (2015) Handbook of porous media. CRC Press, Boca Raton

Darbhasayanam S, Barman D (2021) The variable gravity field and viscous dissipation effects on the double diffusive and Soret driven convective instability in a porous layer with throughflow. Int Commun Heat Mass Transf 120:105050

Barman D, Srinivasacharya D (2021) The variable gravity field and viscous dissipation effects on the convective instability in a porous layer with throughflow: Brinkman model. J Porous Media 24(6):1–13

Tveitereid M (1977) Thermal convection in a horizontal porous layer with internal heat sources. Int J Heat Mass Transf 20(10):1045–1050

Capone F, Gentile M, Hill AA (2011) Double-diffusive penetrative convection simulated via internal heating in an anisotropic porous layer with throughflow. Int J Heat Mass Transf 54(7–8):1622–1626

Bhadauria BS (2012) Double-diffusive convection in a saturated anisotropic porous layer with internal heat source. Transp Porous Media 92(2):299–320

Gaikwad SN, Kouser S (2014) Double diffusive convection in a couple stress fluid saturated porous layer with internal heat source. Int J Heat Mass Transf 78:1254–1264

Deepika N, Narayana PAL, Hill AA (2017) Onset of Darcy-Brinkman convection with a uniform internal heat source and vertical throughflow. Int J Therm Sci 117:136–144

Ali SA, Rudziva M, Sibanda P, Noreldin OAI, Goqo SP, Mthethwa HS (2022) A numerical study of double-diffusive convection in the anisotropic porous layer under rotational modulation with internal heat generation. Int Commun Heat Mass Transf 137:106266

Kumar S, Sharma K (2023) Entropy optimization analysis of Marangoni convective flow over a rotating disk moving vertically with an inclined magnetic field and nonuniform heat source. Heat Transf 52(2):1778–1805

Masuda H, Ebata A, Teramae K (1993) Alteration of thermal conductivity and viscosity of liquid by dispersing ultra-fine particles. Dispersion of $$\text{ Al}_2$$$$\text{ O}_3$$, $$\text{ SiO}_2$$ and $$\text{ TiO}_2$$ ultra-fine particles. Netsu Bussei 7(4):227–233

Choi SUS, Eastman JA (1995) Enhancing thermal conductivity of fluids with nanoparticles. Argonne National Lab, Lemont

Buongiorno J (2006) Convective transport in nanofluids. ASME J Heat Transf 128(3):240–250

Tzou DY (2008) Instability of nanofluids in natural convection. ASME J Heat Transf 130(7):072401

Tzou DY (2008) Thermal instability of nanofluids in natural convection. Int J Heat Mass Transf 51(11–12):2967–2979

Nield DA, Kuznetsov AV (2009) Thermal instability in a porous medium layer saturated by a nanofluid. Int J Heat Mass Transf 52(25–26):5796–5801

Kuznetsov AV, Nield DA (2010) Thermal instability in a porous medium layer saturated by a nanofluid: Brinkman model. Transp Porous Media 81(3):409–422

Yadav D, Agrawal GS, Bhargava R (2011) Thermal instability of rotating nanofluid layer. Int J Eng Sci 49(11):1171–1184

Yadav D, Bhargava R, Agrawal GS (2013) Thermal instability in a nanofluid layer with a vertical magnetic field. J Eng Math 80(1):147–164

Nield DA, Kuznetsov AV (2013) Onset of convection with internal heating in a porous medium saturated by a nanofluid. Transp Porous Media 99(1):73–83

Yadav D, Bhargava R, Agrawal GS (2012) Boundary and internal heat source effects on the onset of Darcy-Brinkman convection in a porous layer saturated by nanofluid. Int J Therm Sci 60:244–254

Khalid IK, Mokhtar NFM, Hashim I, Ibrahim ZB, Gani SSA (2017) Effect of internal heat source on the onset of double-diffusive convection in a rotating nanofluid layer with feedback control strategy. Advn Math Phys 2017:2789024

Chen YC, Chung JN (1996) The linear stability of mixed convection in a vertical channel flow. J Fluid Mech 325:29–51

Hudoba A, Molokov S (2016) Linear stability of buoyant convective flow in a vertical channel with internal heat sources and a transverse magnetic field. Phys Fluids 28(11):114103

Sharma A, Bera P (2018) Linear stability of mixed convection in a differentially heated vertical channel filled with high permeable porous-medium. Int J Therm Sci 134:622–638

Srinivasacharya D, Barman D (2021) Linear stability of convection in a vertical channel filled with nanofluid saturated porous medium. Heat Transf 50(4):3220–3239

Srinivasacharya D, Barman D (2022) Effect of local thermal nonequilibrium on the stability of the flow in a vertical channel filled with nanofluid saturated porous medium. ASME J Heat Transf 144(1):014501

Srinivasacharya D, Barman D (2022) Influence of magnetic field on the stability of double diffusive nanofluid convection in a vertical porous channel. J Porous Media 25(9):1–16

Brinkman HC (1949) A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles. Appl Sci Res A1:27–34

Drazin PG, Reid WH (2004) Hydrodynamic stability. Cambridge University Press, Cambridge

Caruto C, Hussaini MY, Quarteroni A, Zang TA (1988) Spectral method in fluid dynamics. Springer, Berlin

Orszag SA (1971) Accurate solution of the Orr-Sommerfeld stability equation. J Fluid Mech 50(4):689–703

Chen YC, Chung JN (1998) Stability of mixed convection in a differentially heated vertical channel. ASME J Heat Transf 120(1):127–132

Yao LS, Rogers BB (1989) Mixed convection in an annulus of large aspect ratio. ASME J Heat Transf 111(3):683–689

Squire HB (1933) On the stability for three-dimensional disturbances of viscous fluid flow between parallel walls. Proc R Soc Lond Ser A 142(847):621–628

Yao LS, Rogers BB (1989) The linear stability of mixed convection in a vertical annulus. J Fluid Mech 201:279–298