The linear convective stability analysis of Oldroyd B fluid with horizontal temperature gradient and thermocapillary effects is carried out. The lower surface of the fluid layer is in contact with an adiabatic rigid plate and the upper face is flat and subject to a temperature dependent surface tension. The eigenvalue problem is solved by the Chebyshev Tau-QZ method and the results are presented for Prandtl numbers 10 and 100. The role of different viscoelastic parameters is discussed.

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