This paper addresses nonlinear mixed convection flow due to Riga plate with double stratification. Heat transfer analysis is reported for heat generation/absorption and nonlinear thermal radiation. Physical problem is mathematically modeled and nonlinear system of partial differential equations is achieved. Transformations are then utilized to obtain nonlinear system of ordinary differential equations. Homotopic technique is utilized for the solution procedure. Graphical descriptions for velocity, temperature, and concentration distributions are captured and argued for several set of physical variables. Features of skin friction and Nusselt and Sherwood numbers are also illustrated. Our computed results indicate that the attributes of radiation and temperature ratio variables enhance the temperature distribution. Moreover, the influence of buoyancy ratio and modified Hartmann number has revers effects on rate of heat transfer.

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Nonlinear Analysis and Applied Mathematics

(NAAM) Research Group,

Department of Mathematics,

Faculty of Science,

King Abdulaziz University,

P. O. Box 80203,

Jeddah 21589, Saudi Arabia
Department of Mathematics,

Quaid-I-Azam University,

Islamabad 44000, Pakistan

e-mail: ikramullah@math.qau.edu.pk
Nonlinear Analysis and Applied Mathematics

(NAAM) Research Group,

Department of Mathematics,

Faculty of Science,

King Abdulaziz University,

P. O. Box 80203,

Jeddah 21589, Saudi Arabia
Nonlinear Analysis and Applied Mathematics

(NAAM) Research Group,

Department of Mathematics,

Faculty of Science,

King Abdulaziz University,

P. O. Box 80203,

Jeddah 21589, Saudi Arabia

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October 2018

Research-Article

# Simultaneous Effects of Nonlinear Mixed Convection and Radiative Flow Due to Riga-Plate With Double Stratification

Tasawar Hayat,

Tasawar Hayat

Department of Mathematics,

Quaid-I-Azam University,

45320,

Islamabad 44000, Pakistan;

Quaid-I-Azam University,

45320,

Islamabad 44000, Pakistan;

Nonlinear Analysis and Applied Mathematics

(NAAM) Research Group,

Department of Mathematics,

Faculty of Science,

King Abdulaziz University,

P. O. Box 80203,

Jeddah 21589, Saudi Arabia

(NAAM) Research Group,

Department of Mathematics,

Faculty of Science,

King Abdulaziz University,

P. O. Box 80203,

Jeddah 21589, Saudi Arabia

Search for other works by this author on:

Ikram Ullah,

Ikram Ullah

Department of Mathematics,

Quaid-I-Azam University,

Islamabad 44000, Pakistan

e-mail: ikramullah@math.qau.edu.pk

Quaid-I-Azam University,

45320

,Islamabad 44000, Pakistan

e-mail: ikramullah@math.qau.edu.pk

Search for other works by this author on:

Ahmed Alsaedi,

Ahmed Alsaedi

Nonlinear Analysis and Applied Mathematics

(NAAM) Research Group,

Department of Mathematics,

Faculty of Science,

King Abdulaziz University,

P. O. Box 80203,

Jeddah 21589, Saudi Arabia

(NAAM) Research Group,

Department of Mathematics,

Faculty of Science,

King Abdulaziz University,

P. O. Box 80203,

Jeddah 21589, Saudi Arabia

Search for other works by this author on:

Bashir Ahamad
Nonlinear Analysis and Applied Mathematics

(NAAM) Research Group,

Department of Mathematics,

Faculty of Science,

King Abdulaziz University,

P. O. Box 80203,

Jeddah 21589, Saudi Arabia

Bashir Ahamad

(NAAM) Research Group,

Department of Mathematics,

Faculty of Science,

King Abdulaziz University,

P. O. Box 80203,

Jeddah 21589, Saudi Arabia

Search for other works by this author on:

Tasawar Hayat

Department of Mathematics,

Quaid-I-Azam University,

45320,

Islamabad 44000, Pakistan;

Quaid-I-Azam University,

45320,

Islamabad 44000, Pakistan;

(NAAM) Research Group,

Department of Mathematics,

Faculty of Science,

King Abdulaziz University,

P. O. Box 80203,

Jeddah 21589, Saudi Arabia

Ikram Ullah

Quaid-I-Azam University,

45320

,Islamabad 44000, Pakistan

e-mail: ikramullah@math.qau.edu.pk

Ahmed Alsaedi

(NAAM) Research Group,

Department of Mathematics,

Faculty of Science,

King Abdulaziz University,

P. O. Box 80203,

Jeddah 21589, Saudi Arabia

Bashir Ahamad

(NAAM) Research Group,

Department of Mathematics,

Faculty of Science,

King Abdulaziz University,

P. O. Box 80203,

Jeddah 21589, Saudi Arabia

1Corresponding author.

Contributed by the Heat Transfer Division of ASME for publication in the JOURNAL OF HEAT TRANSFER. Manuscript received November 11, 2017; final manuscript received April 6, 2018; published online June 11, 2018. Assoc. Editor: Zhixiong Guo.

*J. Heat Transfer*. Oct 2018, 140(10): 102008 (8 pages)

**Published Online:**June 11, 2018

Article history

Received:

November 11, 2017

Revised:

April 6, 2018

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Citation

Hayat, T., Ullah, I., Alsaedi, A., and Ahamad, B. (June 11, 2018). "Simultaneous Effects of Nonlinear Mixed Convection and Radiative Flow Due to Riga-Plate With Double Stratification." ASME. *J. Heat Transfer*. October 2018; 140(10): 102008. https://doi.org/10.1115/1.4039994

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