Integrated intelligent computing for heat transfer and thermal radiation-based two-phase MHD nanofluid flow model

  • Muhammad Asif Zahoor RajaEmail author
  • Ammara Mehmood
  • Adeel Ahmad Khan
  • Aneela Zameer
Original Article


In this work, novel application of integrated computational heuristics is presented for computational fluid mechanics problem arising in the study of heat transfer and thermal radiation in two-phase magnetohydrodynamic (MHD) fluid flow model involving nanoparticles using the accurate approximation ability of neural networks hybrid with global exploration of genetic algorithm aided with local search exploitation of sequential quadratic programming. The networks are designed and arbitrarily combined to formulate mean squared error-based objective function for solving and governing nonlinear nanofluidic system. The designed methodology is evaluated to study the dynamics of the system by means of velocities, temperature and concentration profiles for prevailing factors based on variation in Reynolds and Schmidt numbers, as well as, rotation, radiation, magnetic, thermophoretic and Brownian parameters. The pragmatic worth of the scheme is established through statistical inferences in terms of accuracy, convergence and complexity metrics.


Neural networks Genetic algorithms Sequential quadratic programming Fluid mechanics Nanofluids Magnetohydrodynamic 


Compliance with ethical standards

Conflict of interest

The authors declare that there is no potential conflict of interest.


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Copyright information

© Springer-Verlag London Ltd., part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Electrical EngineeringCOMSATS Institute of Information TechnologyAttockPakistan
  2. 2.Department of Electrical EngineeringPakistan Institute of Engineering and Applied SciencesIslamabadPakistan
  3. 3.Department of PhysicsAllama Iqbal Open UniversityIslamabadPakistan
  4. 4.Department of Computer and Information SciencesPakistan Institute of Engineering and Applied Sciences (PIEAS)Nilore, IslamabadPakistan

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