Cattaneo–Christov heat flux and non-uniform heat-source/sink impacts on radiative Oldroyd-B two-phase flow across a cone/wedge

  • M. Gnaneswara Reddy
  • M. V. V. N. L. Sudha Rani
  • K. Ganesh Kumar
  • B. C. Prasannakumara
Technical Paper


Impact of Cattaneo–Christov heat flux on radiative Oldroyd-B two-phase flow across a cone/wedge is addressed. RKF-45 method with shooting technique is used to obtain solution of the problem. The obtained results are presented through graphs and tables. We examined the results under non-linear variation of thermal radiation. Our simulations established that influence of physical parameter highly effective for cone when compare to wedge.


Cattaneo–Christov heat flux Thermal radiation Oldroyd-B fluid Fluid–particle suspension 



Heat-source parameter


Heat-sink parameter


Uniform magnetic field


Eckert number


Grashoff number


Gravitational acceleration


Stokes drag coefficient


Mean absorption coefficient


Dust particle concentration parameter


Magnetic parameter


Mass of dust particle


Number of dust particles


Prandtl number


Temperature-dependent on heat-source/sink parameters


Radiation parameter


Reynolds number


Fluid-phase temperature


Dust-phase temperature


Fluid-phase velocity components along \(x\)


Dust-phase velocity components along \(x\)


Fluid-phase velocity components along \(y\)


Dust-phase velocity components along \(y\)


Direction of both fluid and particle phases


Direction of both fluid and particle phases

Greek symbols


Thermal relaxation parameter


Deborah number with respect to relaxation of time


Deborah number with respect to retardation of time

\(\beta_{\upsilon }\)

Fluid–particle interaction parameter for velocity


Fluid–particle interaction parameter for temperature


Specific heat ratio


Non-linear convection parameter


Mixed convection parameter


Relaxation of time


Retardation of time


Densities of the fluid


Densities of the particle phase


Viscosity of the fluid


Electrical conductivity


Relaxation time of heat flux


Stefan–Boltzman coefficient


Relaxation time for temperature


Relaxation time for velocity



Differentiate with respect to \(\xi\)



Dust phase


Fluid property at ambient condition


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Copyright information

© The Brazilian Society of Mechanical Sciences and Engineering 2018

Authors and Affiliations

  1. 1.Department of MathematicsAcharya Nagarjuna University Ongole CampusOngoleIndia
  2. 2.Department of Studies and Research in MathematicsKuvempu UniversityShankaraghattaIndia
  3. 3.Department of MathematicsGovernment First Grade CollegeKoppaIndia

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