Entropy generation in two phase model for simulating flow and heat transfer of carbon nanotubes between rotating stretchable disks with cubic autocatalysis chemical reaction

  • Noor Saeed KhanEmail author
  • Samina Zuhra
  • Qayyum Shah
Original Article


Entropy generation in two phase model for simulating flow and heat transfer of carbon nanotubes in water based fluid in rotating system with the effects of magnetic field, joule heating, thermal radiation, convective boundary conditions and homogeneous–heterogeneous reactions with cubic autocatalysis is examined. The governing equations of the problem are transformed into nonlinear ordinary differential equations by introducing the appropriate similarity transformations which are solved analytically by the homotopy analysis method (HAM). The effects of active parameters are depicted graphically and illustrated. Validation of the present results are shown through Table 2. The study furnishes an overview of the modifications, how they can be detected and quantified using parameters and how this information provides insight into their role in other sciences.


Lorentz forces Entropy generation Two phase model SWCNTs/MWCNTs Convective boundary conditions Joule heating Cubic autocatalysis Homogeneous–heterogeneous reactions Homotopy analysis method 



All the comments and valuable suggestions of the reviewer are highly appreciated. The reviewer’s diplomatic and professional transformation of crude to refine mind in the realm of research and academics is noticed and highly appreciated.

The authors are thankful to the Higher Education Commission (HEC) Pakistan for providing the technical and financial support.

Compliance with ethical standards

Conflict of interests

The authors declare that they have no actual or potential conflict of interests including any financial, personal, or other relationship with other people or organization.


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Copyright information

© King Abdulaziz City for Science and Technology 2019

Authors and Affiliations

  1. 1.Department of MathematicsAbdul Wali Khan UniversityMardanPakistan
  2. 2.Department of MathematicsAbasyn UniversityPeshawarPakistan
  3. 3.Department of Basic Sciences and IslamiyatUniversity of Engineering and TechnologyPeshawarPakistan

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