Laminar Forced Convection Over An Inclined Flat Plate With Unheated Starting Length
Year 2019,
Volume: 22 Issue: 1, 53 - 62, 01.03.2019
Oguz Turgut
,
Ahmet Cem Ozcan
Hasmet Turkoglu
Abstract
Two-dimensional laminar forced
convection over an inclined flat plate with an unheated starting length was
investigated numerically for both constant surface temperature and constant
heat flux boundary conditions. The numerical study was implemented using the
commercial software ANSYS Fluent 15.0. Air is used as working fluid. The
influence of Reynolds number, inclination angle and the length of unheated
plate on velocity and temperature distributions, surface temperature, surface
heat flux and local Nusselt number was investigated. The results show that
Reynolds number, inclination angle and the length of unheated region of plate
play important role on heat transfer from the plate. It is seen that Nusselt
number increases with increasing Reynolds number and inclination angle of
inclined flat plate but decreases with increasing the length of unheated region
of plate.
References
- [1] Nagendra H. R., “Transient forced convection heat transfer from an isothermal flat plate”, AIAA Journal, 11: 876-878, (1973).
- [2] Sarpkaya T., “An inviscid model of two-dimensional vortex shedding for transient and asymptotically steady separated flow over an inclined plate”, Journal of Fluid Mechanics, 68: 109-128, (1975).
- [3] Dey J. and Nath G., “Forced convection heat transfer over a semi-infinite plate”, International Journal of Heat and Mass Transfer, 25: 1774-1776, (1982).
- [4] Ma S. W., Gerner F. M. and Tsuei Y. G., “Composite expansions on forced convection over a flat plate with an unheated starting length”, International Journal of Heat and Mass Transfer, 35: 3275-3289, (1992).
- [5] Ameel T. A., “Average effects of forced convection over a flat plate with an unheated starting length”, International Communications in Heat and Mass Transfer, 24: 1113-1120, (1997).
- [6] Chamkha A. J., “Hydromagnetic Free convection flow over an inclined plate caused by solar radiation”, Journal of Thermophysics and Heat Transfer, 19: 312-314, (1997).
- [7] Vynnycky M., Kimura S., Kanev K. and Pop I., “Forced convection heat transfer from a flat plate: The conjugate problem”, International Journal of Heat and Mass Transfer, 41: 45-59, (1998).
- [8] Yovanovich M. M. and Teertstra P., “Laminar forced convection from isothermal rectangular plates from small to large Reynolds numbers”, American Institute of Aeronautics and Astronautics, AIAA-98-2675: 1-14, (1998).
- [9] Umur H. and Karagöz I., “An investigation of external flows with various pressures and surfaces”, International Communications in Heat and Mass Transfer, 26: 411-419, (1999).
- [10] Kondjoyan A., Péneau F. and Boisson H. C., “Effect of high free stream turbulence on heat transfer between plates and air flows: A review of existing experimental results”, International Journal of Thermal Sciences, 41: 1–16, (2002).
- [11] Nan J., Yu-chun W., Whei S. and Zhen-dong W., “Experimental study of measurement for dissipation rate scaling exponent in heated wall turbulence”, Applied Mathematics and Mechanics, 23: 1035-1044, (2002).
- [12] Kondjoyan A., Péneau F. and Boisson H. C., “Development of flat-plate thermal and velocity boundary layers under highly turbulent and instable air flows: Reynolds numbers ranging from 8400 to 127000”, International Journal of Thermal Sciences, 43: 1091–1100, (2004).
- [13] Rebay M., Padet J. and Kakaç S., “Forced convection from a microstructure on a flat plate”, Heat and Mass Transfer, 43: 309-317, (2007).
- [14] Juncu Gh., “Unsteady conjugate forced convection heat/mass transfer from a finite flat plate”, International Journal of Thermal Sciences, 47: 972–984, (2008).
- [15] Li H. and Nalim M. R., “Thermal-boundary-layer response to convected far-field fluid temperature changes”, Journal of Heat Transfer-Transactions of the ASME, 130: 101001-101001-6, (2008).
- [16] Palani G., “Convection on flow past an inclined plate with variable surface temperatures in water at 4oC”, Journal of Engineering Annals of Faculty of Engineering Hunedoara, 6: 75-82, (2008).
- [17] Kumar S. and Mullick S. C., “Wind heat transfer coefficient in solar collectors in outdoor conditions”, Solar Energy, 84: 956–963, (2010).
- [18] Lam K. M. and Wei C. T., “Numerical simulation of vortex shedding from an inclined flat plate”, Engineering Applications of Computational Fluid Mechanics, 4: 569-579, (2010).
- [19] Palani G. and Kim K.Y., “Viscous dissipation effects on heat transfer in flow over an inclined plate”, Journal of Applied Mechanics and Technical Physics, 51: 241–248, (2010).
- [20] Li H., Nalim M. R. and Merkle C. L., “Transient thermal response of turbulent compressible boundary layers”, Journal of Heat Transfer-Transactions of the ASME, 133: 081701-081701-8, (2011).
- [21] Malvandi A., Ganji D. D., Hedayati F., Kaffash H. M. and Jamshidi M., “Series solution of entropy generation toward an isothermal flat plate”, Thermal Science, 16: 1289-1295, (2012).
- [22] Kumar H., “Heat and mass transfer over an isothermal inclined plate at constant concentration gradient and with heat source”, World Applied Sciences Journal, 24: 364-369, (2013).
- [23] Kumar H., “An analytical solution to the problem of radiative heat and mass transfer over an inclined plate at a prescribed heat flux with chemical reaction”, Journal of the Serbian Chemical Society, 78: 873–881, (2013).
- [24] Samanta S. and Guha A., “Similarity theory for forced convection over horizontal plates”, Journal of Thermophysics and Heat Transfer, 27: 506-514, (2013).
- [25] Islam M., Akter F. and Islam A., “Mass Transfer Flow Through an Inclined Plate with Porous Medium”, American Journal of Applied Mathematics, 3: 215-220, (2015).
- [26] Jana S. and Das K., “Influence of variable fluid properties, thermal radiation and chemical reaction on MHD slip flow over a flat plate”, Italian Journal of Pure and Applied Mathematics, 34: 29-44, (2015).
- [27] Uddin M. J., Khan W. A., Ismail A. I. and Hamad M. A. A., “New similarity solution of boundary layer flow along a continuously moving convectively heated horizontal plate by deductive group method”, Thermal Science, 19: 1017-1024, (2015).
- [28] Shanmugapriya M., “Magnetohydrodynamic (MHD) mixed convective flow and heat transfer over an inclined plate with radiation effect”, ARPN Journal of Engineering and Applied Sciences, 11: 2130-2136, (2016).
- [29] Singh R. K., Galvin J. E. and Sun X., “Three-dimensional simulation of rivulet and film flows over an inclined plate: Effects of solvent properties and contact angle”, Chemical Engineering Science, 142: 244-257, (2016).
- [30] Incropera F. P., DeWitt D. P., Theodore L. B. and Adrienne S. L., “Principles of heat and mass transfer”, John Wiley and Sons Inc., Singapore, (2013).
Laminar Forced Convection Over An Inclined Flat Plate With Unheated Starting Length
Year 2019,
Volume: 22 Issue: 1, 53 - 62, 01.03.2019
Oguz Turgut
,
Ahmet Cem Ozcan
Hasmet Turkoglu
Abstract
Two-dimensional laminar forced
convection over an inclined flat plate with an unheated starting length was
investigated numerically for both constant surface temperature and constant
heat flux boundary conditions. The numerical study was implemented using the
commercial software ANSYS Fluent 15.0. Air is used as working fluid. The
influence of Reynolds number, inclination angle and the length of unheated
plate on velocity and temperature distributions, surface temperature, surface
heat flux and local Nusselt number was investigated. The results show that
Reynolds number, inclination angle and the length of unheated region of plate
play important role on heat transfer from the plate. It is seen that Nusselt
number increases with increasing Reynolds number and inclination angle of
inclined flat plate but decreases with increasing the length of unheated region
of plate.
References
- [1] Nagendra H. R., “Transient forced convection heat transfer from an isothermal flat plate”, AIAA Journal, 11: 876-878, (1973).
- [2] Sarpkaya T., “An inviscid model of two-dimensional vortex shedding for transient and asymptotically steady separated flow over an inclined plate”, Journal of Fluid Mechanics, 68: 109-128, (1975).
- [3] Dey J. and Nath G., “Forced convection heat transfer over a semi-infinite plate”, International Journal of Heat and Mass Transfer, 25: 1774-1776, (1982).
- [4] Ma S. W., Gerner F. M. and Tsuei Y. G., “Composite expansions on forced convection over a flat plate with an unheated starting length”, International Journal of Heat and Mass Transfer, 35: 3275-3289, (1992).
- [5] Ameel T. A., “Average effects of forced convection over a flat plate with an unheated starting length”, International Communications in Heat and Mass Transfer, 24: 1113-1120, (1997).
- [6] Chamkha A. J., “Hydromagnetic Free convection flow over an inclined plate caused by solar radiation”, Journal of Thermophysics and Heat Transfer, 19: 312-314, (1997).
- [7] Vynnycky M., Kimura S., Kanev K. and Pop I., “Forced convection heat transfer from a flat plate: The conjugate problem”, International Journal of Heat and Mass Transfer, 41: 45-59, (1998).
- [8] Yovanovich M. M. and Teertstra P., “Laminar forced convection from isothermal rectangular plates from small to large Reynolds numbers”, American Institute of Aeronautics and Astronautics, AIAA-98-2675: 1-14, (1998).
- [9] Umur H. and Karagöz I., “An investigation of external flows with various pressures and surfaces”, International Communications in Heat and Mass Transfer, 26: 411-419, (1999).
- [10] Kondjoyan A., Péneau F. and Boisson H. C., “Effect of high free stream turbulence on heat transfer between plates and air flows: A review of existing experimental results”, International Journal of Thermal Sciences, 41: 1–16, (2002).
- [11] Nan J., Yu-chun W., Whei S. and Zhen-dong W., “Experimental study of measurement for dissipation rate scaling exponent in heated wall turbulence”, Applied Mathematics and Mechanics, 23: 1035-1044, (2002).
- [12] Kondjoyan A., Péneau F. and Boisson H. C., “Development of flat-plate thermal and velocity boundary layers under highly turbulent and instable air flows: Reynolds numbers ranging from 8400 to 127000”, International Journal of Thermal Sciences, 43: 1091–1100, (2004).
- [13] Rebay M., Padet J. and Kakaç S., “Forced convection from a microstructure on a flat plate”, Heat and Mass Transfer, 43: 309-317, (2007).
- [14] Juncu Gh., “Unsteady conjugate forced convection heat/mass transfer from a finite flat plate”, International Journal of Thermal Sciences, 47: 972–984, (2008).
- [15] Li H. and Nalim M. R., “Thermal-boundary-layer response to convected far-field fluid temperature changes”, Journal of Heat Transfer-Transactions of the ASME, 130: 101001-101001-6, (2008).
- [16] Palani G., “Convection on flow past an inclined plate with variable surface temperatures in water at 4oC”, Journal of Engineering Annals of Faculty of Engineering Hunedoara, 6: 75-82, (2008).
- [17] Kumar S. and Mullick S. C., “Wind heat transfer coefficient in solar collectors in outdoor conditions”, Solar Energy, 84: 956–963, (2010).
- [18] Lam K. M. and Wei C. T., “Numerical simulation of vortex shedding from an inclined flat plate”, Engineering Applications of Computational Fluid Mechanics, 4: 569-579, (2010).
- [19] Palani G. and Kim K.Y., “Viscous dissipation effects on heat transfer in flow over an inclined plate”, Journal of Applied Mechanics and Technical Physics, 51: 241–248, (2010).
- [20] Li H., Nalim M. R. and Merkle C. L., “Transient thermal response of turbulent compressible boundary layers”, Journal of Heat Transfer-Transactions of the ASME, 133: 081701-081701-8, (2011).
- [21] Malvandi A., Ganji D. D., Hedayati F., Kaffash H. M. and Jamshidi M., “Series solution of entropy generation toward an isothermal flat plate”, Thermal Science, 16: 1289-1295, (2012).
- [22] Kumar H., “Heat and mass transfer over an isothermal inclined plate at constant concentration gradient and with heat source”, World Applied Sciences Journal, 24: 364-369, (2013).
- [23] Kumar H., “An analytical solution to the problem of radiative heat and mass transfer over an inclined plate at a prescribed heat flux with chemical reaction”, Journal of the Serbian Chemical Society, 78: 873–881, (2013).
- [24] Samanta S. and Guha A., “Similarity theory for forced convection over horizontal plates”, Journal of Thermophysics and Heat Transfer, 27: 506-514, (2013).
- [25] Islam M., Akter F. and Islam A., “Mass Transfer Flow Through an Inclined Plate with Porous Medium”, American Journal of Applied Mathematics, 3: 215-220, (2015).
- [26] Jana S. and Das K., “Influence of variable fluid properties, thermal radiation and chemical reaction on MHD slip flow over a flat plate”, Italian Journal of Pure and Applied Mathematics, 34: 29-44, (2015).
- [27] Uddin M. J., Khan W. A., Ismail A. I. and Hamad M. A. A., “New similarity solution of boundary layer flow along a continuously moving convectively heated horizontal plate by deductive group method”, Thermal Science, 19: 1017-1024, (2015).
- [28] Shanmugapriya M., “Magnetohydrodynamic (MHD) mixed convective flow and heat transfer over an inclined plate with radiation effect”, ARPN Journal of Engineering and Applied Sciences, 11: 2130-2136, (2016).
- [29] Singh R. K., Galvin J. E. and Sun X., “Three-dimensional simulation of rivulet and film flows over an inclined plate: Effects of solvent properties and contact angle”, Chemical Engineering Science, 142: 244-257, (2016).
- [30] Incropera F. P., DeWitt D. P., Theodore L. B. and Adrienne S. L., “Principles of heat and mass transfer”, John Wiley and Sons Inc., Singapore, (2013).