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Research Article

Analysis combustion of fuel droplets release to the atmosphere using homotopy analysis method

| (Reviewing Editor)
Article: 1216240 | Received 26 Apr 2016, Accepted 18 Jul 2016, Published online: 05 Aug 2016

References

  • Behrouz, R., Heidar, K., & Ahmet, Y. (2013). Homotopy analysis method for the one-dimensional hyperbolic telegraph equation with initial conditions. International Journal of Numerical Methods for Heat and Fluid Flow, 2, 355–372.
  • Bradshaw, P. (1987). Turbulent secondary flows. Annual Review of Fluid Mechanics, 19, 53–74.
  • Fay, J. A., & Lewis, D. H. (1976). Sixteenth symposium international on combustion. The Combustion Institute, Pittsburgh.
  • Kumar, S., Kumar, A., & Baleneu, D. (2016). Two analytical method for time-fractional nonlinear coupled Boussinesq-Burger equations arises in propagation of shallow water waves. Nonlinear Dynamics, 85, 699–715.
  • Kumar, S., Kumar, D., Singh, J., & Singh, S. (2014). New homotopy analysis transform algorithm to solve Volterra integral equation. Ain Sham Engineering Journal, 5, 243–246.
  • Kumar, S., Kumar, D., & Singh, J. (2016). Fractional modelling arising in unidirectional propagation of long waves in dispersive media. Advances in Nonlinear Analysis, 2013, 0033.
  • Kuo, K. K. (1986). Principles of combustion. New York: Wiley.
  • Launder, B. E. (1972). Mathematical models of turbulence. London: Academic Press.
  • Launder, B. E., & Spalding, D. B. (1974). The numerical computation of turbulent flows. Computer Methods in Applied Mechanics and Engineering, 3, 269–289.
  • Liao, S. J. (1998). Homotopy analysis method: A new analytic method for nonlinear problems. Applied Mathematics and Mechanics, 19, 957–962.
  • Liao, S. J. (2003). Beyond perturbation: Introduction to the homotopy analysis method. Boca Raton: Chapman and Hall/CRC Press.
  • Liao, S. J. (2009). Notes on the homotopy analysis method: Some definitions and theorems. Communications in Nonlinear Science and Numerical Simulation., 14, 983–997.
  • Makhviladze, G. M., Roberts, J. P., & Yakush, S. E. (1999a). Combustion of two-phase hydrocarbon fuel clouds released into the atmosphere. Combustion and Flame, 118, 583–605.
  • Makhviladze, G. M., Roberts, J. P., & Yakush, S. E. (1999b). Fireball during combustion of hydrocarbon fuel releases. I. Structure and lift dynamics, Combustion, Explosion and Shock Waves, 35, 219–229.
  • Makhviladze, G. M., Roberts, J. P., & Yakush, S. E. (1999c). Fireball during combustion of hydrocarbon fueld releases II. Thermal radiation, Combustion, Explosion and Shock Waves, 35, 12–23.
  • Salahshour, S., Ahmadian, A., Senu, N., Baleanu, D., & Agarwal, P. (2015). On analytical solutions of the fractional differential equation with uncertainty: Application to the Basset problem. Entropy, 17, 885–902.
  • Shuijun, L. (2004). On the homotopy analysis method for nonlinear problems. Applied Mathematics and Computation, 147, 499–513.
  • Utyuzhnikov, S. V. (2002). Numerical modeling of combustion of fuel-droplet-vapour releases in the atmosphere. Flow, Turbulence and Combustion, 68, 137–152.
  • Xiang, B. Y., Kumar, S., & Kumar, D. (2015). A modified homotopy analysis method for solution of fractional wave equations. Advances in Mechanical Engineering, 7, 1–8.
  • Yahaya, S. D., & Simon, K. D. (2015). Effects of buoyancy and thermal radiation on MHD flow over a stretching porous sheet using homotopy analysis method. Alexandria Engineering Journal, 3, 705–712.
  • Zhang, Y., Balochian, S., Agarwal, P., Bhatnagar, V., & Housheya, O. J. (2016). Artificial intelligence and its applications 2014. Mathematical Problems in Engineering, 2016, 1–6.