# zbMATH — the first resource for mathematics

## Nield, Donald A.

Compute Distance To:
 Author ID: nield.donald-a Published as: Nield, D. A.; Nield, Donald A.
 Documents Indexed: 84 Publications since 1964, including 4 Books
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#### Co-Authors

 27 single-authored 6 Lage, José L. 4 Bejan, Adrian 4 Xiong, Ming 2 Haji-Sheikh, A. 2 Hooman, Kamel 2 Manole, D. M. 1 de Lemos, Marcelo J. S. 1 Joseph, Daniel D. 1 Junqueira, S. L. M. 1 Rees, D. Andrew S. 1 Vadasz, Peter
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#### Serials

 45 International Journal of Heat and Mass Transfer 10 Journal of Fluid Mechanics 9 Journal of Porous Media 3 Mathematical Chronicle 1 Acta Mechanica 1 Archive for Rational Mechanics and Analysis 1 Journal of Mathematical and Physical Sciences 1 SIAM Review 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Journal of Applied Mathematics and Decision Sciences 1 European Journal of Mechanics. B. Fluids
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#### Fields

 78 Fluid mechanics (76-XX) 58 Classical thermodynamics, heat transfer (80-XX) 3 History and biography (01-XX) 3 Probability theory and stochastic processes (60-XX) 2 Ordinary differential equations (34-XX) 2 Numerical analysis (65-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

69 Publications have been cited 1,460 times in 1,135 Documents Cited by Year
Convection in porous media. 3rd ed. Zbl 1256.76004
2006
Convection in porous media. 2nd ed. Zbl 0924.76001
1999
Convection in porous media. 4th ed. Zbl 1268.76001
2013
The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Zbl 1177.80046
Nield, D. A.; Kuznetsov, A. V.
2009
Surface tension and buoyancy effects in cellular convection. Zbl 0123.42204
Nield, D. A.
1964
Convection in porous media. 5th edition. Zbl 1375.76004
2017
Thermal instability in a porous medium layer saturated by a nanofluid. Zbl 1177.80047
Nield, D. A.; Kuznetsov, A. V.
2009
Onset of convection in a fluid layer overlying a layer of a porous medium. Zbl 0364.76032
Nield, D. A.
1977
The boundary correction for the Rayleigh-Darcy problem: limitations of the Brinkman equation. Zbl 0512.76101
Nield, D. A.
1983
The Cheng-Minkowycz problem for the double-diffusive natural convective boundary layer flow in a porous medium saturated by a nanofluid. Zbl 1205.80039
Nield, D. A.; Kuznetsov, A. V.
2011
The onset of convection in a horizontal nanofluid layer of finite depth. Zbl 1193.76052
Nield, D. A.; Kuznetsov, A. V.
2010
Thermally developing forced convection in a porous medium: Parallel plate channel with walls at uniform temperature, with axial conduction and viscous dissipation effects. Zbl 1038.76041
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2003
The onset of convection in a bidisperse porous medium. Zbl 1189.76205
Nield, D. A.; Kuznetsov, A. V.
2006
The onset of transient convective instability. Zbl 0332.76025
Nield, D. A.
1975
Forced convection in a fluid-saturated porous-medium channel with isothermal or isoflux boundaries. Zbl 0882.76086
Nield, D. A.; Junqueira, S. L. M.; Lage, J. L.
1996
Heat transfer in the thermal entrance region for flow through rectangular porous passages. Zbl 1189.76594
Haji-Sheikh, A.; Nield, D. A.; Hooman, K.
2006
Effects of local thermal nonequilibrium in steady convective processes in a saturated porous medium: Forced convection in a channel. Zbl 0920.76079
Nield, D. A.
1998
Convection in a porous medium with inclined temperature gradient. Zbl 0728.76105
Nield, D. A.
1991
Local thermal nonequilibrium effects in forced convection in a porous medium channel: A conjugate problem. Zbl 0947.76078
Nield, D. A.; Kuznetsov, A. V.
1999
Convection in a porous medium with inclined temperature gradient and vertical throughflow. Zbl 0939.76590
Nield, D. A.
1998
Extended Oberbeck-Boussinesq approximation study of convective instabilities in a porous layer with horizontal flow and bottom heating. Zbl 1183.80047
Nield, D. A.; Barletta, A.
2010
Instability and turbulence in convective flows in porous media. Zbl 0993.76024
Nield, D. A.
1998
Effect of local thermal non-equilibrium on thermally developing forced convection in a porous medium. Zbl 1032.76676
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2002
Convection induced by inclined thermal and solutal gradients in a shallow horizontal layer of a porous medium. Zbl 0789.76032
Nield, D. A.; Manole, D. M.; Lage, J. L.
1993
Stability of bifurcating time-periodic and steady solutions of arbitrary amplitude. Zbl 0344.34043
Joseph, Daniel D.; Nield, D. A.
1975
Natural convection about a vertical plate embedded in a bidisperse porous medium. Zbl 1141.76063
Nield, D. A.; Kuznetsov, A. V.
2008
Thermally developing forced convection in a porous medium: parallel-plate channel or circular tube with isothermal walls. Zbl 1073.76063
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2004
Forced convection in a parallel plate channel with asymmetric heating. Zbl 1078.76065
Nield, D. A.
2004
The stability of flow in a channel or duct occupied by a porous medium. Zbl 1047.76512
Nield, D. A.
2003
Convection in a porous medium with inclined temperature gradient: Additional results. Zbl 0900.76600
Nield, D. A.
1994
The effect of combined vertical and horizontal heterogeneity on the onset of convection in a bidisperse porous medium. Zbl 1113.80012
Nield, D. A.; Kuznetsov, A. V.
2007
The effect of permeable boundaries in the Bénard convection problem. Zbl 0770.76027
Nield, D. A.
1992
The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium: Moderate heterogeneity. Zbl 1144.80340
Nield, D. A.; Kuznetsov, A. V.
2008
Forced convection in a bi-disperse porous medium channel: a conjugate problem. Zbl 1098.76616
Nield, D. A.; Kuznetsov, A. V.
2004
The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium. Zbl 1124.80352
Nield, D. A.; Kuznetsov, A. V.
2007
The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium with horizontal throughflow. Zbl 1231.80024
Nield, D. A.; Kuznetsov, A. V.
2011
Thermally developing forced convection in a channel occupied by a porous medium saturated by a non-Newtonian fluid. Zbl 1189.76501
Nield, D. A.; Kuznetsov, A. V.
2005
Modelling fluid flow in saturated porous media and at interfaces. Zbl 1038.76047
Nield, D. A.
2002
Thermally developing forced convection in a porous medium: Parallel-plate channel or circular tube with walls at constant heat flux. Zbl 1057.76054
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2003
Effects of temperature-dependent viscosity in forced convection in a porous medium: Layered-medium analysis. Zbl 1058.76069
Nield, D. A.; Kuznetsov, A. V.
2003
Effect of pressure work and viscous dissipation in the analysis of the Rayleigh-Bénard problem. Zbl 1167.80313
Barletta, A.; Nield, D. A.
2009
The onset of convection in a tridisperse porous medium. Zbl 1219.80065
Kuznetsov, A. V.; Nield, D. A.
2011
Modeling the effects of a magnetic field or rotation on flow in a porous medium: Momentum equation and anisotropic permeability analogy. Zbl 0944.76595
Nield, D. A.
1999
Convection induced by inclined thermal and solutal gradients, with horizontal mass flow, in a shallow horizontal layer of a porous medium. Zbl 0925.76626
Manole, D. M.; Lage, J. L.; Nield, D. A.
1994
Modelling fluid flow and heat transfer in a saturated porous medium. Zbl 1013.76090
Nield, D. A.
2000
The interaction of thermal nonequilibrium and heterogeneous conductivity effects in forced convection in layered porous channels. Zbl 1091.76561
Nield, D. A.; Kuznetsov, A. V.
2001
A note on the modeling of local thermal non-equilibrium in a structured porous medium. Zbl 1006.76563
Nield, D. A.
2002
Mixed convection with viscous dissipation and pressure work in a lid-driven square enclosure. Zbl 1176.80005
Barletta, A.; Nield, D. A.
2009
The Cheng-Minkowycz problem for natural convection about a vertical plate embedded in a tridisperse porous medium. Zbl 1218.80004
Nield, D. A.; Kuznetsov, A. V.
2011
Effects of heterogeneity in forced convection in a porous medium: parallel plate channel or circular duct. Zbl 1064.76611
Nield, D. A.; Kuznetsov, A. V.
2000
A three-velocity three-temperature model for a tridisperse porous medium: Forced convection in a channel. Zbl 1217.80071
Nield, D. A.; Kuznetsov, A. V.
2011
Boundary-layer analysis of forced convection with a plate and porous substrate. Zbl 1064.76098
Nield, D. A.; Kuznetsov, A. V.
2003
Thermally developing brinkman-brinkman forced convection in rectangular ducts with isothermal walls. Zbl 1113.80007
Hooman, K.; Haji-Sheikh, A.; Nield, D. A.
2007
The effect of viscous dissipation on the onset of convection in an inclined porous layer. Zbl 1241.76187
Nield, D. A.; Barletta, A.; Celli, M.
2011
Convection-dissipation instability in the horizontal plane Couette flow of a highly viscous fluid. Zbl 1205.76113
Barletta, A.; Nield, D. A.
2010
Forced convection in cellular porous materials: effect of temperature-dependent conductivity arising from radiative transfer. Zbl 1191.80025
Nield, D. A.; Kuznetsov, A. V.
2010
Forced convection in a channel partly occupied by a bidisperse porous medium: asymmetric case. Zbl 1255.76113
Kuznetsov, A. V.; Nield, D. A.
2010
Forced convection in a helical pipe filled with a saturated porous medium. Zbl 1098.76612
Nield, D. A.; Kuznetsov, A. V.
2004
On the onset of dissipation thermal instability for the Poiseuille flow of a highly viscous fluid in a horizontal channel. Zbl 1241.76201
Barletta, A.; Celli, M.; Nield, D. A.
2011
Unstably stratified Darcy flow with impressed horizontal temperature gradient, viscous dissipation and asymmetric thermal boundary conditions. Zbl 1190.80004
Barletta, A.; Celli, M.; Nield, D. A.
2010
Thermosolutal convective instability and viscous dissipation effect in a fluid-saturated porous medium. Zbl 1211.80002
Barletta, A.; Nield, D. A.
2011
Odd-even factorization results for eigenvalue problems. Zbl 0814.15006
Nield, D. A.
1994
On the inviscid solutions of the Orr-Sommerfeld equation. Zbl 0249.76023
Nield, D. A.
1972
On hadley flow in a porous layer with vertical heterogeneity. Zbl 1275.76195
Barletta, A.; Nield, D. A.
2012
Extending the Duhamel theorem to dual phase applications. Zbl 1137.80007
2008
Erratum to: “Forced convection in a parallel plates channel with asymmetric heating” [Int. J. Heat Mass Transfer 47 (2004) 5609-5612]. Zbl 1255.76114
Nield, D. A.
2008
A bioheat transfer model: Forced convection in a channel occupied by a porous medium with counterflow. Zbl 1151.80310
Nield, D. A.; Kuznetsov, A. V.
2008
Convection induced by inclined gradients in a shallow porous medium layer. Zbl 0903.76035
Lage, J. L.; Nield, D. A.
1998
Effects of heterogeneity in forced convection in a porous medium: Parallel-plate channel, asymmetric property variation, and asymmetric heating. Zbl 1033.76056
Nield, D. A.; Kuznetsov, A. V.
2001
Convection in porous media. 5th edition. Zbl 1375.76004
2017
Convection in porous media. 4th ed. Zbl 1268.76001
2013
On hadley flow in a porous layer with vertical heterogeneity. Zbl 1275.76195
Barletta, A.; Nield, D. A.
2012
The Cheng-Minkowycz problem for the double-diffusive natural convective boundary layer flow in a porous medium saturated by a nanofluid. Zbl 1205.80039
Nield, D. A.; Kuznetsov, A. V.
2011
The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium with horizontal throughflow. Zbl 1231.80024
Nield, D. A.; Kuznetsov, A. V.
2011
The onset of convection in a tridisperse porous medium. Zbl 1219.80065
Kuznetsov, A. V.; Nield, D. A.
2011
The Cheng-Minkowycz problem for natural convection about a vertical plate embedded in a tridisperse porous medium. Zbl 1218.80004
Nield, D. A.; Kuznetsov, A. V.
2011
A three-velocity three-temperature model for a tridisperse porous medium: Forced convection in a channel. Zbl 1217.80071
Nield, D. A.; Kuznetsov, A. V.
2011
The effect of viscous dissipation on the onset of convection in an inclined porous layer. Zbl 1241.76187
Nield, D. A.; Barletta, A.; Celli, M.
2011
On the onset of dissipation thermal instability for the Poiseuille flow of a highly viscous fluid in a horizontal channel. Zbl 1241.76201
Barletta, A.; Celli, M.; Nield, D. A.
2011
Thermosolutal convective instability and viscous dissipation effect in a fluid-saturated porous medium. Zbl 1211.80002
Barletta, A.; Nield, D. A.
2011
The onset of convection in a horizontal nanofluid layer of finite depth. Zbl 1193.76052
Nield, D. A.; Kuznetsov, A. V.
2010
Extended Oberbeck-Boussinesq approximation study of convective instabilities in a porous layer with horizontal flow and bottom heating. Zbl 1183.80047
Nield, D. A.; Barletta, A.
2010
Convection-dissipation instability in the horizontal plane Couette flow of a highly viscous fluid. Zbl 1205.76113
Barletta, A.; Nield, D. A.
2010
Forced convection in cellular porous materials: effect of temperature-dependent conductivity arising from radiative transfer. Zbl 1191.80025
Nield, D. A.; Kuznetsov, A. V.
2010
Forced convection in a channel partly occupied by a bidisperse porous medium: asymmetric case. Zbl 1255.76113
Kuznetsov, A. V.; Nield, D. A.
2010
Unstably stratified Darcy flow with impressed horizontal temperature gradient, viscous dissipation and asymmetric thermal boundary conditions. Zbl 1190.80004
Barletta, A.; Celli, M.; Nield, D. A.
2010
The Cheng-Minkowycz problem for natural convective boundary-layer flow in a porous medium saturated by a nanofluid. Zbl 1177.80046
Nield, D. A.; Kuznetsov, A. V.
2009
Thermal instability in a porous medium layer saturated by a nanofluid. Zbl 1177.80047
Nield, D. A.; Kuznetsov, A. V.
2009
Effect of pressure work and viscous dissipation in the analysis of the Rayleigh-Bénard problem. Zbl 1167.80313
Barletta, A.; Nield, D. A.
2009
Mixed convection with viscous dissipation and pressure work in a lid-driven square enclosure. Zbl 1176.80005
Barletta, A.; Nield, D. A.
2009
Natural convection about a vertical plate embedded in a bidisperse porous medium. Zbl 1141.76063
Nield, D. A.; Kuznetsov, A. V.
2008
The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium: Moderate heterogeneity. Zbl 1144.80340
Nield, D. A.; Kuznetsov, A. V.
2008
Extending the Duhamel theorem to dual phase applications. Zbl 1137.80007
2008
Erratum to: “Forced convection in a parallel plates channel with asymmetric heating” [Int. J. Heat Mass Transfer 47 (2004) 5609-5612]. Zbl 1255.76114
Nield, D. A.
2008
A bioheat transfer model: Forced convection in a channel occupied by a porous medium with counterflow. Zbl 1151.80310
Nield, D. A.; Kuznetsov, A. V.
2008
The effect of combined vertical and horizontal heterogeneity on the onset of convection in a bidisperse porous medium. Zbl 1113.80012
Nield, D. A.; Kuznetsov, A. V.
2007
The effects of combined horizontal and vertical heterogeneity on the onset of convection in a porous medium. Zbl 1124.80352
Nield, D. A.; Kuznetsov, A. V.
2007
Thermally developing brinkman-brinkman forced convection in rectangular ducts with isothermal walls. Zbl 1113.80007
Hooman, K.; Haji-Sheikh, A.; Nield, D. A.
2007
Convection in porous media. 3rd ed. Zbl 1256.76004
2006
The onset of convection in a bidisperse porous medium. Zbl 1189.76205
Nield, D. A.; Kuznetsov, A. V.
2006
Heat transfer in the thermal entrance region for flow through rectangular porous passages. Zbl 1189.76594
Haji-Sheikh, A.; Nield, D. A.; Hooman, K.
2006
Thermally developing forced convection in a channel occupied by a porous medium saturated by a non-Newtonian fluid. Zbl 1189.76501
Nield, D. A.; Kuznetsov, A. V.
2005
Thermally developing forced convection in a porous medium: parallel-plate channel or circular tube with isothermal walls. Zbl 1073.76063
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2004
Forced convection in a parallel plate channel with asymmetric heating. Zbl 1078.76065
Nield, D. A.
2004
Forced convection in a bi-disperse porous medium channel: a conjugate problem. Zbl 1098.76616
Nield, D. A.; Kuznetsov, A. V.
2004
Forced convection in a helical pipe filled with a saturated porous medium. Zbl 1098.76612
Nield, D. A.; Kuznetsov, A. V.
2004
Thermally developing forced convection in a porous medium: Parallel plate channel with walls at uniform temperature, with axial conduction and viscous dissipation effects. Zbl 1038.76041
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2003
The stability of flow in a channel or duct occupied by a porous medium. Zbl 1047.76512
Nield, D. A.
2003
Thermally developing forced convection in a porous medium: Parallel-plate channel or circular tube with walls at constant heat flux. Zbl 1057.76054
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2003
Effects of temperature-dependent viscosity in forced convection in a porous medium: Layered-medium analysis. Zbl 1058.76069
Nield, D. A.; Kuznetsov, A. V.
2003
Boundary-layer analysis of forced convection with a plate and porous substrate. Zbl 1064.76098
Nield, D. A.; Kuznetsov, A. V.
2003
Effect of local thermal non-equilibrium on thermally developing forced convection in a porous medium. Zbl 1032.76676
Nield, D. A.; Kuznetsov, A. V.; Xiong, Ming
2002
Modelling fluid flow in saturated porous media and at interfaces. Zbl 1038.76047
Nield, D. A.
2002
A note on the modeling of local thermal non-equilibrium in a structured porous medium. Zbl 1006.76563
Nield, D. A.
2002
The interaction of thermal nonequilibrium and heterogeneous conductivity effects in forced convection in layered porous channels. Zbl 1091.76561
Nield, D. A.; Kuznetsov, A. V.
2001
Effects of heterogeneity in forced convection in a porous medium: Parallel-plate channel, asymmetric property variation, and asymmetric heating. Zbl 1033.76056
Nield, D. A.; Kuznetsov, A. V.
2001
Modelling fluid flow and heat transfer in a saturated porous medium. Zbl 1013.76090
Nield, D. A.
2000
Effects of heterogeneity in forced convection in a porous medium: parallel plate channel or circular duct. Zbl 1064.76611
Nield, D. A.; Kuznetsov, A. V.
2000
Convection in porous media. 2nd ed. Zbl 0924.76001
1999
Local thermal nonequilibrium effects in forced convection in a porous medium channel: A conjugate problem. Zbl 0947.76078
Nield, D. A.; Kuznetsov, A. V.
1999
Modeling the effects of a magnetic field or rotation on flow in a porous medium: Momentum equation and anisotropic permeability analogy. Zbl 0944.76595
Nield, D. A.
1999
Effects of local thermal nonequilibrium in steady convective processes in a saturated porous medium: Forced convection in a channel. Zbl 0920.76079
Nield, D. A.
1998
Convection in a porous medium with inclined temperature gradient and vertical throughflow. Zbl 0939.76590
Nield, D. A.
1998
Instability and turbulence in convective flows in porous media. Zbl 0993.76024
Nield, D. A.
1998
Convection induced by inclined gradients in a shallow porous medium layer. Zbl 0903.76035
Lage, J. L.; Nield, D. A.
1998
Forced convection in a fluid-saturated porous-medium channel with isothermal or isoflux boundaries. Zbl 0882.76086
Nield, D. A.; Junqueira, S. L. M.; Lage, J. L.
1996
Convection in a porous medium with inclined temperature gradient: Additional results. Zbl 0900.76600
Nield, D. A.
1994
Convection induced by inclined thermal and solutal gradients, with horizontal mass flow, in a shallow horizontal layer of a porous medium. Zbl 0925.76626
Manole, D. M.; Lage, J. L.; Nield, D. A.
1994
Odd-even factorization results for eigenvalue problems. Zbl 0814.15006
Nield, D. A.
1994
Convection induced by inclined thermal and solutal gradients in a shallow horizontal layer of a porous medium. Zbl 0789.76032
Nield, D. A.; Manole, D. M.; Lage, J. L.
1993
The effect of permeable boundaries in the Bénard convection problem. Zbl 0770.76027
Nield, D. A.
1992
Convection in a porous medium with inclined temperature gradient. Zbl 0728.76105
Nield, D. A.
1991
The boundary correction for the Rayleigh-Darcy problem: limitations of the Brinkman equation. Zbl 0512.76101
Nield, D. A.
1983
Onset of convection in a fluid layer overlying a layer of a porous medium. Zbl 0364.76032
Nield, D. A.
1977
The onset of transient convective instability. Zbl 0332.76025
Nield, D. A.
1975
Stability of bifurcating time-periodic and steady solutions of arbitrary amplitude. Zbl 0344.34043
Joseph, Daniel D.; Nield, D. A.
1975
On the inviscid solutions of the Orr-Sommerfeld equation. Zbl 0249.76023
Nield, D. A.
1972
Surface tension and buoyancy effects in cellular convection. Zbl 0123.42204
Nield, D. A.
1964
all top 5