INTERNATIONAL JOURNAL OF LATEST TECHNOLOGY IN ENGINEERING,
MANAGEMENT & APPLIED SCIENCE (IJLTEMAS)
ISSN 2278-2540 | DOI: 10.51583/IJLTEMAS | Volume XIV, Issue X, October 2025
improve heat transfer efficiency without significantly altering the wall shear stress. Figure 8 illustrates the effect of the thermal
radiation parameter on the skin friction coefficient and Nusselt number for the boundary layer flow over an exponentially stretching
sheet in the presence of magneto-radiative interactions. As the thermal radiation parameter increases, the Nusselt number decreases,
while the skin friction coefficient remains nearly constant with minimal variation. The decline in the Nusselt number is due to the
enhanced radiative heat flux, which elevates the fluid temperature and reduces the temperature gradient at the wall, thereby
lowering the heat transfer rate. On the other hand, since radiation primarily influences the thermal field and has little direct
impact on the momentum boundary layer, the skin friction coefficient is largely unaffected. This indicates that increasing thermal
radiation weakens the surface heat transfer without significantly influencing the wall shear stress.
IV. Conclusions
This study investigated the boundary layer development of an electrically conducting fluid influenced by magneto-radiative effects
over an exponentially stretching sheet. The main focus was on understanding how magnetic field strength, thermal radiation,
and fluid properties like the Prandtl number affect the heat transfer and skin friction characteristics of the flow. The system of
governing nonlinear ordinary differential equations derived from the momentum and energy equations was numerically solved
using MATLAB’s bvp4c solver, which efficiently handles two-point boundary value problems with high accuracy. The major
findings of the analysis are as follows:
Increasing the magnetic parameter leads to a decrease in fluid velocity and an increase in fluid temperature, due to the enhanced
Lorentz force that opposes fluid motion and induces resistive heating.
As the magnetic parameter increases, the skin friction coefficient rises, indicating stronger resistance to fluid motion near the
wall, while the Nusselt number decreases due to reduced thermal gradients at the surface.
Higher Prandtl number results in a lower temperature profile, owing to decreased thermal diffusivity, and enhances the Nusselt
number, reflecting more efficient heat transfer. However, its influence on skin friction is minimal.
The temperature distribution increases with an increase in the thermal radiation parameter, as radiative heat flux raises thermal
energy within the boundary layer and thickens the thermal layer.
The Nusselt number decreases with rising thermal radiation due to the reduction in surface temperature gradients, while skin
friction remains nearly unchanged, confirming the dominant thermal nature of radiative effects.
These results offer valuable insights for optimizing thermal management and material processing applications involving
magnetohydrodynamic and radiative boundary layer flows over stretching surfaces.
References
1. Venkateswarlu, B., Falmari, A. S., Joo, S. W., & Chandarki, I. M. (2024). A numerical study on magneto-radiative hybrid
nanofluid flow over an exponentially stretched surface with heat flux dissipation. Numerical Heat Transfer, Part B:
Fundamentals, 1-22.
2. Sanjayanand, E., & Khan, S. K. (2006). On heat and mass transfer in a viscoelastic boundary layer flow over an
exponentially stretching sheet. International Journal of Thermal Sciences, 45(8), 819-828.
3. Bidin, B., & Nazar, R. (2009). Numerical solution of the boundary layer flow over an exponentially stretching sheet with
thermal radiation. European journal of scientific research, 33(4), 710-717.
4. Ishak, A. (2011). MHD boundary layer flow due to an exponentially stretching sheet with radiation effect. Sains
Malaysiana, 40(4), 391-395.
5. Khan, S. K. (2006). Boundary layer viscoelastic fluid flow over an exponentially stretching sheet. Applied Mechanics and
Engineering, 11(2), 321.
6. Mukhopadhyay, S. (2013). MHD boundary layer flow and heat transfer over an exponentially stretching sheet embedded
in a thermally stratified medium. Alexandria Engineering Journal, 52(3), 259-265.
7. Mukhopadhyay, S. (2013). Slip effects on MHD boundary layer flow over an exponentially stretching sheet with
suction/blowing and thermal radiation. Ain Shams Engineering Journal, 4(3), 485-491.
8. Eid, M. R. (2016). Chemical reaction effect on MHD boundary-layer flow of two-phase nanofluid model over an
exponentially stretching sheet with a heat generation. Journal of Molecular Liquids, 220, 718-725.
9. Hayat, T., Imtiaz, M., & Alsaedi, A. (2016). Boundary layer flow of Oldroyd-B fluid by exponentially stretching sheet.
Applied Mathematics and Mechanics, 37, 573-582.
10. Baag, S., Mishra, S. R., Hoque, M. M., & Anika, N. N. (2018). Magnetohydrodynamic boundary layer flow over an
exponentially stretching sheet past a porous medium with uniform heat source. Journal of Nanofluids, 7(3), 570-576.
11. Govindaraj, N., Singh, A. K., Roy, S., & Shukla, P. (2019). Analysis of a boundary layer flow over moving an exponentially
stretching surface with variable viscosity and Prandtl number. Heat Transfer—Asian Research, 48(7), 2736-2751.
12. Rajput, G. R., Jadhav, B. P., & Salunkhe, S. N. (2020). Magnetohydrodynamics boundary layer flow and heat transfer in
porous medium past an exponentially stretching sheet under the influence of radiation. Heat Transfer, 49(5), 2906-2920.
13. Mushtaq, A., Farooq, M. A., Sharif, R., & Razzaq, M. (2019). The impact of variable fluid properties on hydromagnetic
boundary layer and heat transfer flows over an exponentially stretching sheet. Journal of Physics Communications, 3(9),
Page 1284